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Structure Of Regular Semigroups I
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Book Synopsis Structure of Regular Semigroups. I by : K. S. S. Nambooripad
Download or read book Structure of Regular Semigroups. I written by K. S. S. Nambooripad and published by American Mathematical Soc.. This book was released on 1979 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structure of regular semigroups is studied in full generality. The principal tool used in this is the concept of a (regular) biordered set which abstractly characterizes the set of idempotents of a regular semigroup. The category of inductive groupoids is then defined as the category whose objects are pairs consisting of an ordered groupoid and an order-preserving functor of the chain groupoid of a biordered set whose vertex map is a bijection, and whose morphisms are certain commutative diagrams in the category of ordered groupoids. It is shown by an explicit construction that every regular semigroup can be constructed from an inductive groupoid and that the category of inductive groupoids is equivalent to the category of all regular semigroups. This construction is then applied to obtain the structure of all fundamental regular semigroups and all idempotent generated regular semigroups. The paper ends with a study of biordered sets of some important classes of regular semigroups.
Download or read book Semigroups written by Pierre A. Grillet and published by Routledge. This book was released on 2017-11-22 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers concise coverage of the structure theory of semigroups. It examines constructions and descriptions of semigroups and emphasizes finite, commutative, regular and inverse semigroups. Many structure theorems on regular and commutative semigroups are introduced.;College or university bookstores may order five or more copies at a special student price which is available upon request from Marcel Dekker, Inc.
Book Synopsis Structure of Regular Semigroups by : K. S. S. Nambooripad
Download or read book Structure of Regular Semigroups written by K. S. S. Nambooripad and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Regular Semigroups as Extensions by : Francis J. Pastijn
Download or read book Regular Semigroups as Extensions written by Francis J. Pastijn and published by Pitman Advanced Publishing Program. This book was released on 1985 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structure of Regular Semigroups, II by : K. S. S. Nambooripad
Download or read book Structure of Regular Semigroups, II written by K. S. S. Nambooripad and published by . This book was released on 1989 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Algebraic Theory of Semigroups, Volume II by : Alfred Hoblitzelle Clifford
Download or read book The Algebraic Theory of Semigroups, Volume II written by Alfred Hoblitzelle Clifford and published by American Mathematical Soc.. This book was released on 1961 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Completely Regular Semigroup Varieties by : Mario Petrich
Download or read book Completely Regular Semigroup Varieties written by Mario Petrich and published by Springer Nature. This book was released on with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structure of Regular Semigroups by : Mario Petrich
Download or read book Structure of Regular Semigroups written by Mario Petrich and published by . This book was released on 1977 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Some Problems of Structure in Regular Semigroups by : Hal G. Moore
Download or read book Some Problems of Structure in Regular Semigroups written by Hal G. Moore and published by . This book was released on 1957 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Structure of Regular and Inverse Semigroups by : Karl E. Byleen
Download or read book The Structure of Regular and Inverse Semigroups written by Karl E. Byleen and published by . This book was released on 1977 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Semigroups written by Stefan Schwarz and published by North Holland. This book was released on 1985 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structure of Regular Semigroups, Vol. II. Cross-connections by : K. S. S. Nambooripad
Download or read book Structure of Regular Semigroups, Vol. II. Cross-connections written by K. S. S. Nambooripad and published by . This book was released on 1989 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Techniques of Semigroup Theory by : Peter M. Higgins
Download or read book Techniques of Semigroup Theory written by Peter M. Higgins and published by Clarendon Press. This book was released on 1992 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces recently developed ideas and techniques in semigroup theory, providing a handy reference guide previously unavailable in a single volume. The opening chapter provides sufficient background to enable the reader to follow any of the subsequent chapters, and would by itself be suitable for a first course in semigroup theory. The second chapter gives an account of free inverse semigroups leading to proofs of the McAlister P-theorems. Subsequent chapters have the underlying theme of diagrams and mappings, and the new material includes the theory of biordered sets of Nambooripad and Easdown, the semigroup diagrams of Remmers and Jackson with applications to the one-relator, and other word problems, a short proof of Isbell's Zigzag theorem with applications to epimorphisms and amalgams, together with combinatorial, probabilistic and graphical techniques used to prove results including Schein's Covering Theorem and Howie's Gravity Formula for finite full transformation semigroups. Nearly two hundred exercises serve the dual purpose of illustrating the richness of the subject while allowing the reader to come to grips with the material.
Book Synopsis Completely Regular Semigroup Varieties by : Mario Petrich
Download or read book Completely Regular Semigroup Varieties written by Mario Petrich and published by Springer. This book was released on 2024-09-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents further developments and applications in the area of completely regular semigroup theory, beginning with applications of Polák’s theorem to obtain detailed descriptions of various kernel classes including the K-class covers of the kernel class of all bands. The important property of modularity of the lattice of varieties of completely regular semigroups is then employed to analyse various principal sublattices. This is followed by a study of certain important complete congruences on the lattice; the group, local and core relations. The next chapter is devoted to a further treatment of certain free objects and related word problems. There are many constructions in the theory of semigroups. Those that have played an important role in the theory of varieties of completely regular semigroups are presented as they apply in this context. The mapping that takes each variety to its intersection with the variety of bands is a complete retraction of the lattice of varieties of completely regular semigroups onto the lattice of band varieties and so induces a complete congruence for which every class has a greatest member. The sublattice generated by these greatest members is then investigated with the help of many applications of Polák’s theorem. The book closes with a fascinating conjecture regarding the structure of this sublattice.
Book Synopsis Introduction to Semigroups by : Mario Petrich
Download or read book Introduction to Semigroups written by Mario Petrich and published by Merrill Publishing Company. This book was released on 1973 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Semigroups: Algebraic Theory And Applications To Formal Languages And Codes by : Celestina Bonzini
Download or read book Semigroups: Algebraic Theory And Applications To Formal Languages And Codes written by Celestina Bonzini and published by World Scientific. This book was released on 1993-10-29 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings present some new topics and techniques of semigroup theory. Papers by leading experts in this theory are collected. Since results on semigroups have naturally been employed in formal languages and codes, the focus is also on these directions.
Book Synopsis Structure of Concordant Semigroups-Ii by : P. G ROMEO
Download or read book Structure of Concordant Semigroups-Ii written by P. G ROMEO and published by LAP Lambert Academic Publishing. This book was released on 2010-11 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups are algebraic structures consisting of a non empty set together with an associative binary operation. The theory of semigroups has experienced a vigorous development during the last few decades to become an independent branch of algebra with applications to several branches of mathematics. The theory of semigroups had essentially two origns. One was an attempt to generalize both group theory and to a lesser extent ring theory to a system consisting of a single associative operation and the other consisted of an abstraction of the properties of the composition of transformation on a set. The study of the structure of semigroups grew as a central theme in semigroup research, among the various types of semigroups the class of regular semigroups are those which admits some sort of inverses and their structure theorems are well established. The class of non regular semigroups are less investigated and the present study is an attempt to formulate a structure theorem for concordant semigroups - an interesting class of non regular semigroups .
