000			03680cam a2200529Ki 4500
001			9780429344336
003			FlBoTFG
005			20220724194246.0
006			m o d
007			cr cnu---unuuu
008			191120s2019 flua o 000 0 eng d
040			_aOCoLC-P _beng _erda _epn _cOCoLC-P
020			_a9780429344336 _q(electronic bk.)
020			_a0429344333 _q(electronic bk.)
020			_a9781000740004 _q(electronic bk. : PDF)
020			_a1000740005 _q(electronic bk. : PDF)
020			_a9781000740400 _q(electronic bk. : EPUB)
020			_a1000740404 _q(electronic bk. : EPUB)
020			_z9780367354817
020			_z0367354810
035			_a(OCoLC)1128094408
035			_a(OCoLC-P)1128094408
050		4	_aQA252.3
072		7	_aMAT _x000000 _2bisacsh
072		7	_aMAT _x002000 _2bisacsh
072		7	_aMAT _x022000 _2bisacsh
072		7	_aPBF _2bicssc
082	0	4	_a512.55 _223
100	1		_aAyupov, Shavkat, _eauthor.
245	1	0	_aLeibniz algebras : _bstructure and classification / _cShavkat Ayupov, Bakhrom Omirov, Isamiddin Rakhimov.
264		1	_aBoca Raton : _bCRC Press, _c2019.
300			_a1 online resource (1 volume) : _billustrations (black and white).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
520			_aLeibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras. Leibniz algebra is the generalization of Lie algebras. These algebras preserve a unique property of Lie algebras that the right multiplication operators are derivations. They first appeared in papers of A.M Blokh in the 1960s, under the name D-algebras, emphasizing their close relationship with derivations. The theory of D-algebras did not get as thorough an examination as it deserved immediately after its introduction. Later, the same algebras were introduced in 1993 by Jean-Louis Loday , who called them Leibniz algebras due to the identity they satisfy. The main motivation for the introduction of Leibniz algebras was to study the periodicity phenomena in algebraic K-theory. Nowadays, the theory of Leibniz algebras is one of the more actively developing areas of modern algebra. Along with (co)homological, structural and classification results on Leibniz algebras, some papers with various applications of the Leibniz algebras also appear now. However, the focus of this book is mainly on the classification problems of Leibniz algebras. Particularly, the authors propose a method of classification of a subclass of Leibniz algebras based on algebraic invariants. The method is applicable in the Lie algebras case as well. Features: Provides a systematic exposition of the theory of Leibniz algebras and recent results on Leibniz algebras Suitable for final year bachelor's students, master's students and PhD studentsgoing into research in the structural theory of finite-dimensional algebras, particularly, Lie and Leibniz algebras Covers important and more general parts of the structural theory of Leibniz algebras that are not addressed in other texts
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aLie algebras.
650		7	_aMATHEMATICS / General _2bisacsh
650		7	_aMATHEMATICS / Algebra / General _2bisacsh
650		7	_aMATHEMATICS / Number Theory _2bisacsh
700	1		_aOmirov, Bakhrom, _eauthor.
700	1		_aRakhimov, Isamiddin, _eauthor.
856	4	0	_3Read Online _uhttps://www.taylorfrancis.com/books/9780429344336
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942			_2lcc _cEBK
999			_c15536 _d15536