| 000 | 03437nam a22005175i 4500 | ||
|---|---|---|---|
| 001 | 978-981-99-8285-1 | ||
| 003 | DE-He213 | ||
| 005 | 20251030111451.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240228s2024 si | s |||| 0|eng d | ||
| 020 |
_a9789819982851 _9978-981-99-8285-1 |
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| 024 | 7 |
_a10.1007/978-981-99-8285-1 _2doi |
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| 050 | 4 | _aQA251.5 | |
| 072 | 7 |
_aPBF _2bicssc |
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| 072 | 7 |
_aMAT002010 _2bisacsh |
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| 072 | 7 |
_aPBF _2thema |
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| 100 | 1 |
_aChen, Jianlong. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _972026 |
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| 245 | 1 | 0 |
_aAlgebraic Theory of Generalized Inverses _h[electronic resource] / _cby Jianlong Chen, Xiaoxiang Zhang. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aSingapore : _bSpringer Nature Singapore : _bImprint: Springer, _c2024. |
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| 300 |
_aXI, 322 p. 1 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aPreface -- Algebraic Basic Knowledge -- Moore-Penrose Inverses -- Group Inverses -- Drazin Inverses -- Core Inverses -- Pseudo Core Inverses -- Bibliography -- Index. | |
| 520 | _aMost 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. | ||
| 650 | 0 |
_aAssociative rings. _972027 |
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| 650 | 0 |
_aAssociative algebras. _972028 |
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| 650 | 0 |
_aGroup theory. _970149 |
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| 650 | 1 | 4 |
_aAssociative Rings and Algebras. _972029 |
| 650 | 2 | 4 |
_aGroup Theory and Generalizations. _970154 |
| 700 | 1 |
_aZhang, Xiaoxiang. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _972030 |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819982844 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819982868 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819982875 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-981-99-8285-1 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 999 |
_c57977 _d57977 |
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