Lecture Notes On Algebraic Structure Of Lattice Ordered Rings

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Lecture Notes On Algebraic Structure Of Lattice-ordered Rings

Author : Jingjing Ma
Publisher : World Scientific
ISBN 13 : 981457144X
Total Pages : 258 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Lecture Notes On Algebraic Structure Of Lattice-ordered Rings by : Jingjing Ma

Download or read book Lecture Notes On Algebraic Structure Of Lattice-ordered Rings written by Jingjing Ma and published by World Scientific. This book was released on 2014-03-14 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field.This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book.The book is largely self-contained, except in a few places, and contains about 200 exercises to assist the reader to better understand the text and practice some ideas.

Ordered Algebraic Structures

Author : Jorge Martínez
Publisher : Springer Science & Business Media
ISBN 13 : 9401117233
Total Pages : 257 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Ordered Algebraic Structures by : Jorge Martínez

Download or read book Ordered Algebraic Structures written by Jorge Martínez and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of papers presented at the 1991 Conrad Conference, held in Gainesville, Florida, USA, in December, 1991. Together, these give an overview of some recent advances in the area of ordered algebraic structures. The first part of the book is devoted to ordered permutation groups and universal, as well as model-theoretic, aspects. The second part deals with material variously connected to general topology and functional analysis. Collectively, the contents of the book demonstrate the wide applicability of order-theoretic methods, and how ordered algebraic structures have connections with many research disciplines. For researchers and graduate students whose work involves ordered algebraic structures.

Ordered Algebraic Structures

Author : W.C. Holland
Publisher : Springer Science & Business Media
ISBN 13 : 9401156409
Total Pages : 334 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Ordered Algebraic Structures by : W.C. Holland

Download or read book Ordered Algebraic Structures written by W.C. Holland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference on Ordered Algebraic Structures held in Curat;ao, from the 26th of June through the 30th of June, 1995, at the Avila Beach Hotel, marked the eighth year of ac tivities by the Caribbean Mathematics Foundation (abbr. CMF), which was the principal sponsor of this conference. CMF was inaugurated in 1988 with a conference on Ordered Algebraic Structures. During the years between these two conferences the field has changed sufficiently, both from my point of view and, I believe, that of my co-organizer, W. Charles Holland, to make one wonder about the label "Ordered Algebraic Structures" itself. We recognized this from the start, and right away this conference carried a subtitle, or, if one prefers, an agenda: we concentrated on the one hand, on traditional themes in the theory of ordered groups, including model-theoretic aspects, and, on the other hand, on matters in which topology (more precisely C(X)-style topology) and category theory would play a prominent role. Plainly, ordered algebra has many faces, and it is becoming increas ingly difficult to organize an intimate conference, such as the ones encouraged in the series sponsored by CMF, in this area on a broad set of themes. These proceedings reflect, accurately we think, the spirit of the conferees, but it is not a faithful record of the papers presented at the conference.

Ordered Algebraic Structures

Author : W. B. Powell
Publisher : CRC Press
ISBN 13 : 9780824773427
Total Pages : 220 pages
Book Rating : 4.7/5 (734 download)

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Book Synopsis Ordered Algebraic Structures by : W. B. Powell

Download or read book Ordered Algebraic Structures written by W. B. Powell and published by CRC Press. This book was released on 1985-10-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers contained in this volume constitute the proceedings of the Special Session on Ordered Algebraic Structures which was held at the 1982 annual meeting of the American Mathematical Society in Cincinnati, Ohio. The Special Session and this volume honor Paul Conrad, whose work on the subject is noted for its depth and originality. These papers address many areas within the subject of ordered algebraic structures, including varieties, free algebras, lattice ordered groups, subgroups of ordered groups, semigroups, ordered rings, and topological properties of these structures.

Lattices and Ordered Algebraic Structures

Author : T.S. Blyth
Publisher : Springer Science & Business Media
ISBN 13 : 1852339055
Total Pages : 311 pages
Book Rating : 4.8/5 (523 download)

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Book Synopsis Lattices and Ordered Algebraic Structures by : T.S. Blyth

Download or read book Lattices and Ordered Algebraic Structures written by T.S. Blyth and published by Springer Science & Business Media. This book was released on 2005-04-18 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS

Lattice-ordered Rings and Modules

Author : Stuart A. Steinberg
Publisher : Springer Science & Business Media
ISBN 13 : 1441917217
Total Pages : 639 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Lattice-ordered Rings and Modules by : Stuart A. Steinberg

Download or read book Lattice-ordered Rings and Modules written by Stuart A. Steinberg and published by Springer Science & Business Media. This book was released on 2009-11-19 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Filling a gap in the literature, Lattice-Ordered Rings and Modules may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules. Steinberg presents the material through 800+ extensive examples of varying levels of difficulty along with numerous exercises at the end of each section. Key topics include: lattice-ordered groups, rings, and fields; archimedean $l$-groups; f-rings and larger varieties of $l$-rings; the category of f-modules; various commutativity results.

Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings

Author : Niels Schwartz
Publisher : Springer
ISBN 13 : 3540482849
Total Pages : 276 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings by : Niels Schwartz

Download or read book Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings written by Niels Schwartz and published by Springer. This book was released on 2006-11-13 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings. Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful. The book aims at researchers and graduate students with an interest in real algebra and geometry, ordered algebraic structures, topology and rings of continuous functions.

Theory of Lattice-Ordered Groups

Author : Michael Darnel
Publisher : CRC Press
ISBN 13 : 9780824793265
Total Pages : 568 pages
Book Rating : 4.7/5 (932 download)

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Book Synopsis Theory of Lattice-Ordered Groups by : Michael Darnel

Download or read book Theory of Lattice-Ordered Groups written by Michael Darnel and published by CRC Press. This book was released on 1994-11-15 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists interested in topics such as group, order, number and lattice theory, universal algebra, and representation theory; and upper-level undergraduate and graduate students in these disciplines.;College or university bookstores may order five or more copies at a special student price which is available from Marcel Dekker Inc, upon request.

Residuated Structures in Algebra and Logic

Author : George Metcalfe
Publisher : American Mathematical Society
ISBN 13 : 1470469855
Total Pages : 282 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Residuated Structures in Algebra and Logic by : George Metcalfe

Download or read book Residuated Structures in Algebra and Logic written by George Metcalfe and published by American Mathematical Society. This book was released on 2023-11-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to residuated structures, viewed as a common thread binding together algebra and logic. The framework includes well-studied structures from classical abstract algebra such as lattice-ordered groups and ideals of rings, as well as structures serving as algebraic semantics for substructural and other non-classical logics. Crucially, classes of these structures are studied both algebraically, yielding a rich structure theory along the lines of Conrad's program for lattice-ordered groups, and algorithmically, via analytic sequent or hypersequent calculi. These perspectives are related using a natural notion of equivalence for consequence relations that provides a bridge offering benefits to both sides. Algorithmic methods are used to establish properties like decidability, amalgamation, and generation by subclasses, while new insights into logical systems are obtained by studying associated classes of structures. The book is designed to serve the purposes of novices and experts alike. The first three chapters provide a gentle introduction to the subject, while subsequent chapters provide a state-of-the-art account of recent developments in the field.

Algebra. Carbondale 1980.

Author : Ralph K. Amayo
Publisher : Springer
ISBN 13 : 3540385495
Total Pages : 305 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Algebra. Carbondale 1980. by : Ralph K. Amayo

Download or read book Algebra. Carbondale 1980. written by Ralph K. Amayo and published by Springer. This book was released on 2006-11-15 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nearrings, Nearfields And Related Topics

Author : Kuncham Syam Prasad
Publisher : World Scientific
ISBN 13 : 981320737X
Total Pages : 324 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Nearrings, Nearfields And Related Topics by : Kuncham Syam Prasad

Download or read book Nearrings, Nearfields And Related Topics written by Kuncham Syam Prasad and published by World Scientific. This book was released on 2016-11-28 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G

Semirings: Algebraic Theory And Applications In Computer Science

Author : Hanns Joachim Weinert
Publisher : World Scientific
ISBN 13 : 9814495697
Total Pages : 371 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Semirings: Algebraic Theory And Applications In Computer Science by : Hanns Joachim Weinert

Download or read book Semirings: Algebraic Theory And Applications In Computer Science written by Hanns Joachim Weinert and published by World Scientific. This book was released on 1998-10-30 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the algebraic theory of semirings and, in this context, to basic algebraic concepts as e.g. semigroups, lattices and rings. It includes an algebraic theory of infinite sums as well as a detailed treatment of several applications in theoretical computer science. Complete proofs, various examples and exercises (some of them with solutions) make the book suitable for self-study. On the other hand, a more experienced reader who looks for information about the most common concepts and results on semirings will find cross-references throughout the book, a comprehensive bibliography and various hints to it.

A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences

Author : K. Glazek
Publisher : Springer Science & Business Media
ISBN 13 : 9401599645
Total Pages : 394 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences by : K. Glazek

Download or read book A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences written by K. Glazek and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a short guide to the extensive literature concerning semir ings along with a complete bibliography. The literature has been created over many years, in variety of languages, by authors representing different schools of mathematics and working in various related fields. In many instances the terminology used is not universal, which further compounds the difficulty of locating pertinent sources even in this age of the Internet and electronic dis semination of research results. So far there has been no single reference that could guide the interested scholar or student to the relevant publications. This book is an attempt to fill this gap. My interest in the theory of semirings began in the early sixties, when to gether with Bogdan W ~glorz I tried to investigate some algebraic aspects of compactifications of topological spaces, semirings of semicontinuous functions, and the general ideal theory for special semirings. (Unfortunately, local alge braists in Poland told me at that time that there was nothing interesting in investigating semiring theory because ring theory was still being developed). However, some time later we became aware of some similar investigations hav ing already been done. The theory of semirings has remained "my first love" ever since, and I have been interested in the results in this field that have been appearing in literature (even though I have not been active in this area myself).

Real Analytic and Algebraic Geometry

Author : Fabrizio Broglia
Publisher : Walter de Gruyter
ISBN 13 : 3110881276
Total Pages : 305 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Real Analytic and Algebraic Geometry by : Fabrizio Broglia

Download or read book Real Analytic and Algebraic Geometry written by Fabrizio Broglia and published by Walter de Gruyter. This book was released on 2011-07-11 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Determinantal Rings

Author : Winfried Bruns
Publisher : Springer
ISBN 13 : 3540392742
Total Pages : 246 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Determinantal Rings by : Winfried Bruns

Download or read book Determinantal Rings written by Winfried Bruns and published by Springer. This book was released on 2006-11-14 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law. This approach suggest (and is simplified by) the simultaneous treatment of the Schubert subvarieties of Grassmannian. Other methods have not been neglected, however. Principal radical systems are discussed in detail, and one section is devoted to each of invariant and representation theory. While the book is primarily a research monograph, it serves also as a reference source and the reader requires only the basics of commutative algebra together with some supplementary material found in the appendix. The text may be useful for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings.

Lecture Notes in Pure and Applied Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 676 pages
Book Rating : 4.:/5 (51 download)

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Book Synopsis Lecture Notes in Pure and Applied Mathematics by :

Download or read book Lecture Notes in Pure and Applied Mathematics written by and published by . This book was released on 1985 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rings of Continuous Function

Author : Charles E. Aull
Publisher : CRC Press
ISBN 13 : 1000154203
Total Pages : 342 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Rings of Continuous Function by : Charles E. Aull

Download or read book Rings of Continuous Function written by Charles E. Aull and published by CRC Press. This book was released on 2020-12-18 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers on algebra, functional analysis, and general topology, with a strong interaction with set theoretic axioms and involvement with category theory, presented in the special session on Rings of Continuous Functions held in 1982 in Cincinnati, Ohio.