Algebraic Theory of Generalized Inverses (PDF)
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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.
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.
- Autoren: Jianlong Chen , Xiaoxiang Zhang
- 2024, 2024, 322 Seiten, Englisch
- Verlag: Springer Nature Singapore
- ISBN-10: 9819982855
- ISBN-13: 9789819982851
- Erscheinungsdatum: 28.02.2024
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