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Advances in Ring Theory and Applications

The book intends to be a collection of research papers on algebra and related topics, most of which were presented at the international "Workshop on Associative Rings and Algebras with additional str…

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Jonathan Leech, Antonio M. Cegarra
The Cohomology of Monoids

This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech's original monograph in the Memoirs of the American Mathematical Society dates back to 1975. This b…

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Recent Progress in Ring and Factorization Theory

This proceedings volume gathers a selection of cutting-edge research in both commutative and non-commutative ring theory and factorization theory. The papers were presented at the Conference on Rings and …

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Leonid Kurdachenko, Igor Subbotin, Oleksandr Pypka
General Theory of Leibniz Algebras

This book discusses many interesting results have been obtained in Leibniz algebras over the past two decades. The authors not only summarize recent results and methods successfully used in Leibniz algebr…

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Michel Coornaert, Tullio Ceccherini-Silberstein
Cellular Automata and Groups

This unique book provides a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric and combinatorial group theory, a…

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Perspectives on Four Decades of Algebraic Geometry, Volume 2

The second of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades as well as state-of-the art research. With chapters writ…

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Higher Structures and Operadic Calculus

This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the "Higher homotopical structures" programme.Since their introductio…

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M. L. Brown
Shafarevich-Tate Groups

This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic. Readers will better understand how the methods of Euler syste…

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Haiyan Tian
Linear Algebra

This book presents algebra in a concise and clear way, allowing beginner students to quickly attain the required proficiency. As to opposed to existing books on the subject that cover too many topics, som…

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Bertram Huppert,
Finite Groups I

Since its publication in 1967, Bertram Huppert's influential Endliche Gruppen I has remained a standard reference on group theory, with its clear, precise and complete exposition. The present volume makes…

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Alberto Facchini
Introduction to Ring and Module Theory

This textbook is designed for a first course in ring theory, module theory and category theory. Written following several decades of teaching experience, it stands out with its clear and engaging style, f…

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Giovanni De Franceschi, Eamonn A. O'Brien, Martin W. Liebeck
Conjugacy in Finite Classical Groups

This book provides a comprehensive coverage of the theory of conjugacy in finite classical groups. Given such a classical group G, the three fundamental problems considered are the following: to list a re…

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Davide Lombardo
L-Functions

This book provides an accessible introduction to the theory of L -functions, emphasising their central role in number theory and their direct applications to key results. Designed to be elementary, it off…

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Corneliu M¿nescu-Avram
Selection Tests in Number Theory for Mathematical Olympiads

This book gathers carefully chosen selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries. Offering a blend of original solutions and adaptations by the author, …

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Liviu C. Florescu
Selected Topics in Mathematical Analysis

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.Written in a clear and careful style, these four ¿pearls¿ aim at complementing and deepening the…

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Joachim Hilgert
Mathematical Structures

This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and linear algebra. It is meant to help students to appreciate th…

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Claus Scheiderer
A Course in Real Algebraic Geometry

This textbook is designed for a one-year graduate course in real algebraic geometry, with a particular focus on positivity and sums of squares of polynomials.The first half of the book features a thorough…

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Leonid Positselski
Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes

Semi-Infinite Geometry is a theory of "doubly infinite-dimensional" geometric or topological objects. In this book the author explains what should be meant by an algebraic variety of semi-infini…

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Tullio Ceccherini-Silberstein, Michel Coornaert
Exercises in Cellular Automata and Groups

This book complements the authors¿ monograph Cellular Automata and Groups [CAG] (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric…

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Marco Hien
Abstract Algebra

This book contains the basics of abstract algebra.In addition to elementary algebraic structures such as groups, rings and solids, Galois theory in particular is developed together with its applications t…

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