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Author : Maurice Bergeron
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.:/5 (32 download)
Download or read book Ideal Theory in Noetherian Rings with Applications to Algebraic Varieties written by Maurice Bergeron and published by . This book was released on 1968 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. G. Northcott
Publisher : Cambridge University Press
ISBN 13 : 9780521604833
Total Pages : 128 pages
Book Rating : 4.6/5 (48 download)
Download or read book Ideal Theory written by D. G. Northcott and published by Cambridge University Press. This book was released on 2004-06-03 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the modern theory of ideas.
Author : Lance W. Small
Publisher : American Mathematical Soc.
ISBN 13 : 0821815253
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)
Download or read book Noetherian Rings and Their Applications written by Lance W. Small and published by American Mathematical Soc.. This book was released on 1987 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: ". T. Stafford -- The Goldie rank of a module " . R. Farkas -- Noetherian group rings: An exercise in creating folklore and intuition " . C. Jantzen -- Primitive ideals in the enveloping algebra of a semisimple Lie algebra " . J. Enright -- Representation theory of semisimple Lie algebras " .-E. Björk -- Filtered Noetherian rings " . Rentschler -- Primitive ideals in enveloping algebras.
Author : Winfried Bruns
Publisher : Springer
ISBN 13 : 3540392742
Total Pages : 246 pages
Book Rating : 4.5/5 (43 download)
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.
Author : A. Granja
Publisher : CRC Press
ISBN 13 : 9780203907962
Total Pages : 366 pages
Book Rating : 4.9/5 (79 download)
Download or read book Ring Theory And Algebraic Geometry written by A. Granja and published by CRC Press. This book was released on 2001-05-08 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on the interaction between algebra and algebraic geometry, including high-level research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.
Author : Cristodor Ionescu
Publisher : Springer Nature
ISBN 13 : 303122292X
Total Pages : 487 pages
Book Rating : 4.0/5 (312 download)
Download or read book Classes of Good Noetherian Rings written by Cristodor Ionescu and published by Springer Nature. This book was released on 2023-03-28 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an exhaustive treatment of several classes of Noetherian rings and morphisms of Noetherian local rings. Chapters carefully examine some of the most important topics in the area, including Nagata, F-finite and excellent rings, Bertini’s Theorem, and Cohen factorizations. Of particular interest is the presentation of Popescu’s Theorem on Neron Desingularization and the structure of regular morphisms, with a complete proof. Classes of Good Noetherian Rings will be an invaluable resource for researchers in commutative algebra, algebraic and arithmetic geometry, and number theory.
Author : Andrea Ferretti
Publisher : American Mathematical Society
ISBN 13 : 1470471272
Total Pages : 394 pages
Book Rating : 4.4/5 (74 download)
Download or read book Commutative Algebra written by Andrea Ferretti and published by American Mathematical Society. This book was released on 2023-09-26 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to classical methods in commutative algebra and their applications to number theory, algebraic geometry, and computational algebra. The use of number theory as a motivating theme throughout the book provides a rich and interesting context for the material covered. In addition, many results are reinterpreted from a geometric perspective, providing further insight and motivation for the study of commutative algebra. The content covers the classical theory of Noetherian rings, including primary decomposition and dimension theory, topological methods such as completions, computational techniques, local methods and multiplicity theory, as well as some topics of a more arithmetic nature, including the theory of Dedekind rings, lattice embeddings, and Witt vectors. Homological methods appear in the author's sequel, Homological Methods in Commutative Algebra. Overall, this book is an excellent resource for advanced undergraduates and beginning graduate students in algebra or number theory. It is also suitable for students in neighboring fields such as algebraic geometry who wish to develop a strong foundation in commutative algebra. Some parts of the book may be useful to supplement undergraduate courses in number theory, computational algebra or algebraic geometry. The clear and detailed presentation, the inclusion of computational techniques and arithmetic topics, and the numerous exercises make it a valuable addition to any library.
Author : Paul-Jean Cahen
Publisher : CRC Press
ISBN 13 : 1000946762
Total Pages : 489 pages
Book Rating : 4.0/5 (9 download)
Download or read book Commutative Ring Theory written by Paul-Jean Cahen and published by CRC Press. This book was released on 2023-06-14 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of the Second International Conference on Commutative Ring Theory in Fes, Morocco. The text details developments in commutative algebra, highlighting the theory of rings and ideals. It explores commutative algebra's connections with and applications to topological algebra and algebraic geometry.
Author : Eric Jespers
Publisher : Springer Science & Business Media
ISBN 13 : 1402058101
Total Pages : 364 pages
Book Rating : 4.4/5 (2 download)
Download or read book Noetherian Semigroup Algebras written by Eric Jespers and published by Springer Science & Business Media. This book was released on 2007-03-15 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. These results are applied and illustrated in the context of important classes of algebras that arise in a variety of areas and have recently been intensively studied. The focus is on the interplay between combinatorics and algebraic structure. Mathematical physicists will find this work interesting for its attention to applications of the Yang-Baxter equation.
Author : S.T. Chapman
Publisher : Springer Science & Business Media
ISBN 13 : 1475731809
Total Pages : 477 pages
Book Rating : 4.4/5 (757 download)
Download or read book Non-Noetherian Commutative Ring Theory written by S.T. Chapman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative Ring Theory emerged as a distinct field of research in math ematics only at the beginning of the twentieth century. It is rooted in nine teenth century major works in Number Theory and Algebraic Geometry for which it provided a useful tool for proving results. From this humble origin, it flourished into a field of study in its own right of an astonishing richness and interest. Nowadays, one has to specialize in an area of this vast field in order to be able to master its wealth of results and come up with worthwhile contributions. One of the major areas of the field of Commutative Ring Theory is the study of non-Noetherian rings. The last ten years have seen a lively flurry of activity in this area, including: a large number of conferences and special sections at national and international meetings dedicated to presenting its results, an abundance of articles in scientific journals, and a substantial number of books capturing some of its topics. This rapid growth, and the occasion of the new Millennium, prompted us to embark on a project aimed at presenting an overview of the recent research in the area. With this in mind, we invited many of the most prominent researchers in Non-Noetherian Commutative Ring Theory to write expository articles representing the most recent topics of research in this area.
Author : Douglas Geoffrey Northcott
Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.3/5 (129 download)
Download or read book Cambridge Tracts in Mathematics and Mathematical Physics written by Douglas Geoffrey Northcott and published by . This book was released on 1953 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Neil S. Shore
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)
Download or read book Ideal Theory in Noetherian Rings written by Neil S. Shore and published by . This book was released on 1958 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christian.U Jensen
Publisher : Routledge
ISBN 13 : 1351431129
Total Pages : 458 pages
Book Rating : 4.3/5 (514 download)
Download or read book Model Theoretic Algebra With Particular Emphasis on Fields, Rings, Modules written by Christian.U Jensen and published by Routledge. This book was released on 2022-03-10 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume highlights the links between model theory and algebra. The work contains a definitive account of algebraically compact modules, a topic of central importance for both module and model theory. Using concrete examples, particular emphasis is given to model theoretic concepts, such as axiomizability. Pure mathematicians, especially algebraists, ring theorists, logicians, model theorists and representation theorists, should find this an absorbing and stimulating book.
Author : Oscar Zariski
Publisher : American Mathematical Soc.
ISBN 13 : 082181205X
Total Pages : 99 pages
Book Rating : 4.8/5 (218 download)
Download or read book Theory and Applications of Holomorphic Functions on Algebraic Varieties over Arbitrary Ground Fields written by Oscar Zariski and published by American Mathematical Soc.. This book was released on 1951 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul-Jean Cahen
Publisher : CRC Press
ISBN 13 : 1000942740
Total Pages : 273 pages
Book Rating : 4.0/5 (9 download)
Download or read book Commutative Ring Theory written by Paul-Jean Cahen and published by CRC Press. This book was released on 2023-06-14 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: " Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!"
Author : R. Kaya
Publisher : Springer Science & Business Media
ISBN 13 : 9400954603
Total Pages : 567 pages
Book Rating : 4.4/5 (9 download)
Download or read book Rings and Geometry written by R. Kaya and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: When looking for applications of ring theory in geometry, one first thinks of algebraic geometry, which sometimes may even be interpreted as the concrete side of commutative algebra. However, this highly de veloped branch of mathematics has been dealt with in a variety of mono graphs, so that - in spite of its technical complexity - it can be regarded as relatively well accessible. While in the last 120 years algebraic geometry has again and again attracted concentrated interes- which right now has reached a peak once more - , the numerous other applications of ring theory in geometry have not been assembled in a textbook and are scattered in many papers throughout the literature, which makes it hard for them to emerge from the shadow of the brilliant theory of algebraic geometry. It is the aim of these proceedings to give a unifying presentation of those geometrical applications of ring theo~y outside of algebraic geometry, and to show that they offer a considerable wealth of beauti ful ideas, too. Furthermore it becomes apparent that there are natural connections to many branches of modern mathematics, e. g. to the theory of (algebraic) groups and of Jordan algebras, and to combinatorics. To make these remarks more precise, we will now give a description of the contents. In the first chapter, an approach towards a theory of non-commutative algebraic geometry is attempted from two different points of view.
Author : Oscar Zariski
Publisher : Courier Dover Publications
ISBN 13 : 0486838609
Total Pages : 434 pages
Book Rating : 4.4/5 (868 download)
Download or read book Commutative Algebra, Volume II written by Oscar Zariski and published by Courier Dover Publications. This book was released on 2019-11-13 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second text in this two-book series extends the classical material of Volume I, which focuses on field theory and the ideal theory of Noetherian rings and Dedekind domains. The connection of Volume II's material to algebraic geometry is stressed throughout the presentation, making this book a practical introduction to some basic concepts and the arithmetical foundations of algebraic geometry. The opening chapter deals with properties of places and is followed by a chapter that explores the classical properties of polynomial and power series rings and their applications to algebraic geometry. The final chapter examines the theory of local rings, which provides the algebraic basis for the local study of algebraic and analytical varieties. Several helpful Appendixes conclude the text.
