all ebooks in category: Abstract Algebra

The Use of Ultraproducts in Commutative Algebra

Exploring ultraproducts of Noetherian local rings from an algebraic perspective, this volume illustrates the many ways they can be used in commutative algebra. The text …

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Ring and Module Theory

This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore …

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Mordell–Weil Lattices

This book lays out the theory of Mordell–Weil lattices, a very powerful and influential tool at the crossroads of algebraic geometry and number theory, which …

Higher Segal Spaces

This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions. The authors introduce the notion of a …

Simplicial Methods for Higher Categories: Segal-type Models of Weak n-Categories (Repost)

This monograph presents a new model of mathematical structures called weak n-categories. These structures find their motivation in a wide range of fields, from algebraic …

Algebra: Polynomials, Galois Theory and Applications (Aurora: Dover Modern Math Originals) [Repost]

Suitable for advanced undergraduates and graduate students in mathematics and computer science, this precise, self-contained treatment of Galois theory features detailed proofs and complete solutions …

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A New Foundation for Representation in Cognitive and Brain Science: Category Theory and the Hippocampus

The purpose of the book is to advance in the understanding of brain function by defining a general framework for representation based on category theory. …

Abstract Algebra (Dover Books on Mathematics)

This excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. These …

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Topos Theory (Dover Books on Mathematics)

One of the best books on a relatively new branch of mathematics, this text is the work of a leading authority in the field of …

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