Contributions to General Algebra
Author:
Publisher:
Published: 1999
Total Pages: 712
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
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Publisher:
Published: 1999
Total Pages: 712
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DOWNLOAD EBOOKAuthor: Dietmar Dorninger
Publisher:
Published: 2000
Total Pages: 452
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DOWNLOAD EBOOKAuthor: Ivan Chajda
Publisher:
Published: 2004
Total Pages: 240
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DOWNLOAD EBOOKAuthor: Ivan Chajda
Publisher:
Published: 2005
Total Pages: 312
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DOWNLOAD EBOOKAuthor: Günter Pilz
Publisher:
Published: 1995
Total Pages: 340
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DOWNLOAD EBOOKAuthor: Ralph S. Freese
Publisher: American Mathematical Society
Published: 2022-10-28
Total Pages: 496
ISBN-13: 1470467976
DOWNLOAD EBOOKThis book is the second of a three-volume set of books on the theory of algebras, a study that provides a consistent framework for understanding algebraic systems, including groups, rings, modules, semigroups and lattices. Volume I, first published in the 1980s, built the foundations of the theory and is considered to be a classic in this field. The long-awaited volumes II and III are now available. Taken together, the three volumes provide a comprehensive picture of the state of art in general algebra today, and serve as a valuable resource for anyone working in the general theory of algebraic systems or in related fields. The two new volumes are arranged around six themes first introduced in Volume I. Volume II covers the Classification of Varieties, Equational Logic, and Rudiments of Model Theory, and Volume III covers Finite Algebras and their Clones, Abstract Clone Theory, and the Commutator. These topics are presented in six chapters with independent expositions, but are linked by themes and motifs that run through all three volumes.
Author: George M. Bergman
Publisher: Springer
Published: 2015-02-05
Total Pages: 574
ISBN-13: 3319114786
DOWNLOAD EBOOKRich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
Author: Michael F. Atiyah
Publisher: CRC Press
Published: 2018-03-09
Total Pages: 140
ISBN-13: 0429973268
DOWNLOAD EBOOKFirst Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.
Author: Muḥammad ibn Mūsá Khuwārizmī
Publisher:
Published: 1831
Total Pages: 360
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DOWNLOAD EBOOKAuthor: Ivo G. Rosenberg
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 565
ISBN-13: 9401706972
DOWNLOAD EBOOKIn the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation. This book contains the contributions of the invited speakers. Universal algebra- which established itself only in the 1930's- grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a well-established and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties.