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Algebraic Theory of Generalized Inverses

Af: Xiaoxiang Zhang, Jianlong Chen Engelsk Hardback

Algebraic Theory of Generalized Inverses

Af: Xiaoxiang Zhang, Jianlong Chen Engelsk Hardback
Tjek vores konkurrenters priser
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 generalizedinverses 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.
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Tjek vores konkurrenters priser
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 generalizedinverses 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.
Produktdetaljer
Sprog: Engelsk
Sider: 322
ISBN-13: 9789819982844
Indbinding: Hardback
Udgave:
ISBN-10: 9819982847
Kategori: Algebra
Udg. Dato: 29 feb 2024
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Verlag, Singapore
Oplagsdato: 29 feb 2024
Forfatter(e) Xiaoxiang Zhang, Jianlong Chen


Kategori Algebra


ISBN-13 9789819982844


Sprog Engelsk


Indbinding Hardback


Sider 322


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 29 feb 2024


Oplagsdato 29 feb 2024


Forlag Springer Verlag, Singapore

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