Geometrical Methods in Congruence Modular Algebras PDF Download
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Author: Heinz Peter Gumm
Publisher: American Mathematical Soc.
ISBN: 0821822861
Category : Algebra, Universal
Languages : en
Pages : 90
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Book Description
We develop a geometric approach to algebras in congruence modular varieties. The idea of coordination of lines in affine geometry finds an almost perfect analog in the coordination of algebras. The geometry is the congruence class geometry, i.e. the subspaces are the blocks of congruence relations.
Author: Heinz Peter Gumm
Publisher: American Mathematical Soc.
ISBN: 0821822861
Category : Algebra, Universal
Languages : en
Pages : 90
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Book Description
We develop a geometric approach to algebras in congruence modular varieties. The idea of coordination of lines in affine geometry finds an almost perfect analog in the coordination of algebras. The geometry is the congruence class geometry, i.e. the subspaces are the blocks of congruence relations.
Author: Heinz Peter Gumm
Publisher: American Mathematical Soc.
ISBN: 9780821860335
Category : Mathematics
Languages : en
Pages : 92
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Book Description
Author: Ralph Freese
Publisher: CUP Archive
ISBN: 9780521348324
Category : Mathematics
Languages : ja
Pages : 244
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Book Description
Author: Anna B. Romanowska
Publisher: World Scientific
ISBN: 9789810249427
Category : Science
Languages : en
Pages : 640
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Book Description
Introduces the theory and application of modes, covering topics in universal algebra, category theory, and modal theory, and includes exercises to illustrate concepts.
Author: Alexander V. Mikhalev
Publisher: Springer Science & Business Media
ISBN: 9401732671
Category : Mathematics
Languages : en
Pages : 629
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Book Description
It is by no means clear what comprises the "heart" or "core" of algebra, the part of algebra which every algebraist should know. Hence we feel that a book on "our heart" might be useful. We have tried to catch this heart in a collection of about 150 short sections, written by leading algebraists in these areas. These sections are organized in 9 chapters A, B, . . . , I. Of course, the selection is partly based on personal preferences, and we ask you for your understanding if some selections do not meet your taste (for unknown reasons, we only had problems in the chapter "Groups" to get enough articles in time). We hope that this book sets up a standard of what all algebraists are supposed to know in "their" chapters; interested people from other areas should be able to get a quick idea about the area. So the target group consists of anyone interested in algebra, from graduate students to established researchers, including those who want to obtain a quick overview or a better understanding of our selected topics. The prerequisites are something like the contents of standard textbooks on higher algebra. This book should also enable the reader to read the "big" Handbook (Hazewinkel 1999-) and other handbooks. In case of multiple authors, the authors are listed alphabetically; so their order has nothing to do with the amounts of their contributions.
Author: Valery B. Kudryavtsev
Publisher: Springer Science & Business Media
ISBN: 1402038178
Category : Mathematics
Languages : en
Pages : 448
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Book Description
Semigroups, Automata, Universal Algebra, Varieties
Author: Jacek Malinowski
Publisher: Springer Nature
ISBN: 3031444906
Category :
Languages : en
Pages : 473
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Book Description
Author: R.S. Freese
Publisher: Springer
ISBN: 3540409548
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Author: Francis Borceux
Publisher: Springer Science & Business Media
ISBN: 9781402019616
Category : Mathematics
Languages : en
Pages : 504
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Book Description
The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory. The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint is: knowing an object, not from inside via its elements, but from outside via its relations with its environment. The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics.
Author:
Publisher: American Mathematical Soc.
ISBN: 9780821895887
Category : Mathematics
Languages : en
Pages : 262
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Book Description
This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.
