Algebraic Theory of Generalized Inverses

Name: Algebraic Theory of Generalized Inverses
Brand: Springer
SKU: 9789819982844
Price: 9447.0 INR
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by Jianlong Chen

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ISBN13: 9789819982844
Binding: Hardcover
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: February 29, 2024
Pages: 322
Original Price: EUR 129.99
Language: English
Edition: 2024
Item Weight: 645 grams
BISAC Subject(s): Algebra / Abstract

About The Book

From the Back Cover
Most of the existing monographs on generalized inverses are based on linear algebra tools and geometric methods of Banach (Hilbert) spaces to introduce generalized inverses of complex matrices and operators and their related applications, or focus on generalized inverses of matrices over special rings like division rings and integral domains, and does not include the results in general algebraic structures such as arbitrary rings, semigroups and categories, which are precisely the most general cases.

In this book, five important generalized inverses are introduced in these algebraic structures. Moreover, noting that the (pseudo) core inverse was introduced in the last decade and has attracted much attention, this book also covers the very rich research results on it, so as to be a necessary supplement to the existing monographs. This book starts with decompositions of matrices, introduces the basic properties of generalized inverses of matrices, and then discusses generalized inverses of elements in rings and semigroups, as well as morphisms in categories. The algebraic nature of generalized inverses is presented, and the behavior of generalized inverses are related to the properties of the algebraic system.

Scholars and graduate students working on the theory of rings, semigroups and generalized inverses of matrices and operators will find this book helpful.

About The Author

Jianlong Chen is a Professor at School of Mathematics, Southeast University. He is engaged in research in algebra, including ring theory, module theory, homological theory, matrix theory and generalized inverse theory.

Xiaoxiang Zhang is a Professor at School of Mathematics, Southeast University. He is engaged in research in algebra, with research interests including the theory of rings, modules, generalized inverses and homological algebra.

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