The Algebraic Theory of Semigroups, Volume II

The Algebraic Theory of Semigroups, Volume II PDF Author: Alfred Hoblitzelle Clifford
Publisher: American Mathematical Soc.
ISBN: 0821802720
Category : Group theory
Languages : en
Pages : 370

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Book Description

The Algebraic Theory of Semigroups, Volume II

The Algebraic Theory of Semigroups, Volume II PDF Author: Alfred Hoblitzelle Clifford
Publisher: American Mathematical Soc.
ISBN: 0821802720
Category : Group theory
Languages : en
Pages : 370

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Book Description


The q-theory of Finite Semigroups

The q-theory of Finite Semigroups PDF Author: John Rhodes
Publisher: Springer Science & Business Media
ISBN: 0387097813
Category : Mathematics
Languages : en
Pages : 674

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Book Description
This comprehensive, encyclopedic text in four parts aims to give the reader — from the graduate student to the researcher/practitioner — a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, thereby updating and modernizing the semigroup theory literature.

Semigroups

Semigroups PDF Author: E. S. Li͡apin
Publisher: American Mathematical Soc.
ISBN: 9780821886410
Category : Mathematics
Languages : en
Pages : 542

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Book Description


M-Solid Varieties of Algebras

M-Solid Varieties of Algebras PDF Author: Jörg Koppitz
Publisher: Springer Science & Business Media
ISBN: 9780387308043
Category : Mathematics
Languages : en
Pages : 364

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Book Description
A complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on solid varieties of semirings and semigroups. The book aims to develop the theory of solid varieties as a system of mathematical discourse that is applicable in several concrete situations. A unique feature of this book is the use of Galois connections to integrate different topics.

Semirings: Algebraic Theory And Applications In Computer Science

Semirings: Algebraic Theory And Applications In Computer Science PDF Author: Hanns Joachim Weinert
Publisher: World Scientific
ISBN: 9814495697
Category : Mathematics
Languages : en
Pages : 371

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Book Description
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.

The Theory of Finitely Generated Commutative Semigroups

The Theory of Finitely Generated Commutative Semigroups PDF Author: L. Rédei
Publisher: Elsevier
ISBN: 1483155943
Category : Mathematics
Languages : en
Pages : 368

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Book Description
The Theory of Finitely Generated Commutative Semigroups describes a theory of finitely generated commutative semigroups which is founded essentially on a single "fundamental theorem" and exhibits resemblance in many respects to the algebraic theory of numbers. The theory primarily involves the investigation of the F-congruences (F is the the free semimodule of the rank n, where n is a given natural number). As applications, several important special cases are given. This volume is comprised of five chapters and begins with preliminaries on finitely generated commutative semigroups before turning to a discussion of the problem of determining all the F-congruences as the fundamental problem of the proposed theory. The next chapter lays down the foundations of the theory by defining the kernel functions and the fundamental theorem. The elementary properties of the kernel functions are then considered, along with the ideal theory of free semimodules of finite rank. The final chapter deals with the isomorphism problem of the theory, which is solved by reducing it to the determination of the equivalent kernel functions. This book should be of interest to mathematicians as well as students of pure and applied mathematics.

A Short Course on Operator Semigroups

A Short Course on Operator Semigroups PDF Author: Klaus-Jochen Engel
Publisher: Springer Science & Business Media
ISBN: 0387313419
Category : Mathematics
Languages : en
Pages : 257

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Book Description
The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.

The Classification of the Finite Simple Groups, Number 4

The Classification of the Finite Simple Groups, Number 4 PDF Author: Daniel Gorenstein
Publisher: American Mathematical Soc.
ISBN: 082181379X
Category : Finite simple groups
Languages : en
Pages : 361

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Book Description


Nonlocal Bifurcations

Nonlocal Bifurcations PDF Author: I︠U︡. S. Ilʹi︠a︡shenko
Publisher: American Mathematical Soc.
ISBN: 0821804979
Category : Mathematics
Languages : en
Pages : 303

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Book Description
This book studies nonlocal bifurcations that occur on the boundary of the domain of Morse-Smale systems in the space of all dynamical systems. These bifurcations provide a series of fascinating new scenarios for the transition from simple dynamical systems to complicated ones. The main effects are the generation of hyperbolic periodic orbits, nontrivial hyperbolic invariant sets and the elements of hyperbolic theory. All results are rigorously proved and exposed in a uniform way. The foundations of normal forms and hyperbolic theories are presented from the very first stages. The proofs are preceded by heuristic descriptions of the ideas. The book contains new results, and many results have not previously appeared in monograph form.

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups PDF Author: Armand Borel
Publisher: American Mathematical Soc.
ISBN: 147041225X
Category : Mathematics
Languages : en
Pages : 282

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Book Description
It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades.