| 000 | 03843nam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-58148-9 | ||
| 003 | DE-He213 | ||
| 005 | 20251030112043.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240515s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031581489 _9978-3-031-58148-9 |
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| 024 | 7 |
_a10.1007/978-3-031-58148-9 _2doi |
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| 050 | 4 | _aQA150-272 | |
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_aPBF _2bicssc |
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| 072 | 7 |
_aMAT002000 _2bisacsh |
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| 072 | 7 |
_aPBF _2thema |
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| 100 | 1 |
_aKurdachenko, Leonid. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _976864 |
|
| 245 | 1 | 0 |
_aGeneral Theory of Leibniz Algebras _h[electronic resource] / _cby Leonid Kurdachenko, Oleksandr Pypka, Igor Subbotin. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2024. |
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| 300 |
_aX, 166 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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| 490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
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| 505 | 0 | _aElementary Properties and Connections -- Structure of Cyclic Leibniz Algebras -- Leibniz Algebras whose Proper Sub-algebras are Lie Algebras -- Leibniz Algebras whose Proper Sub-algebras are Ideals -- Leibniz Algebras in which the Relation “to be an ideal” is Transitive -- Leibniz Algebras whose Proper Sub-algebras are either Ideals or Contra-ideals -- Influence of Ideals and Self-idealizing Sub-algebras on the Structure of Leibniz Algebras -- Influence of Anti-commutativity on the Structure of Leibniz Algebras -- Analogue of Schur's Theorem and its Generalizations. | |
| 520 | _aThis book discusses many interesting results have been obtained in Leibniz algebras over the past two decades. The authors not only summarize recent results and methods successfully used in Leibniz algebras, but also show new prospective horizons. Any mathematical theories have a number of natural problems that arise in the process of its development, and these problems quite often have analogues in other areas such as differential geometry, homological algebra, classical algebraic topology, noncommutative geometry, etc. With this in mind the authors describe the general structure of Leibniz algebras that have already been discovered. This approach allows readers to see which parts of the theory should be developed further and also shows the significant differences of Leibniz algebras from Lie algebras. Recent results that constitute the naturally evolving general theory of the subject are then explored. In addition, this book: Summarizes results and methods used in Leibniz algebras and also shows new perspective horizons Discusses numerous interesting and promising results in the area of Leibniz algebras from the past two decades Addresses the significant differences of Leibniz algebras from Lie algebras. | ||
| 650 | 0 |
_aAlgebra. _91501 |
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| 650 | 0 |
_aMathematics. _965523 |
|
| 650 | 0 |
_aMathematical analysis. _964178 |
|
| 650 | 1 | 4 |
_aAlgebra. _91501 |
| 650 | 2 | 4 |
_aMathematics. _965523 |
| 650 | 2 | 4 | _aAnalysis. |
| 700 | 1 |
_aPypka, Oleksandr. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _976865 |
|
| 700 | 1 |
_aSubbotin, Igor. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _976866 |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031581472 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031581496 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031581502 |
| 830 | 0 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-58148-9 |
| 912 | _aZDB-2-SXSC | ||
| 999 |
_c59876 _d59876 |
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