000			03283nam a22005775i 4500
001			978-1-4020-5141-8
003			DE-He213
005			20161121231126.0
007			cr nn 008mamaa
008			100301s2007 ne | s |||| 0|eng d
020			_a9781402051418 _9978-1-4020-5141-8
024	7		_a10.1007/978-1-4020-5141-8 _2doi
050		4	_aQA251.5
072		7	_aPBF _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.46 _223
245	1	0	_aAlgebras, Rings and Modules _h[electronic resource] / _cedited by Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko.
264		1	_aDordrecht : _bSpringer Netherlands, _c2007.
300			_aXII, 400 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aMathematics and Its Applications ; _v586
505	0		_aGroups and group representations -- Quivers and their representations -- Representations of posets and of finite dimensional algebras -- Frobenius algebras and quasi-Frobenius rings -- Right serial rings -- Tiled orders over discrete valuation rings -- Gorenstein matrices.
520			_aAs a natural continuation of the first volume of Algebras, Rings and Modules, this book provides both the classical aspects of the theory of groups and their representations as well as a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras. Detailed attention is given to special classes of algebras and rings including Frobenius, quasi-Frobenius, right serial rings and tiled orders using the technique of quivers. The most important recent developments in the theory of these rings are examined. The Cartan Determinant Conjecture and some properties of global dimensions of different classes of rings are also given. The last chapters of this volume provide the theory of semiprime Noetherian semiperfect and semidistributive rings. Of course, this book is mainly aimed at researchers in the theory of rings and algebras but graduate and postgraduate students, especially those using algebraic techniques, should also find this book of interest.
650		0	_aMathematics.
650		0	_aAssociative rings.
650		0	_aRings (Algebra).
650		0	_aCategory theory (Mathematics).
650		0	_aHomological algebra.
650		0	_aCommutative algebra.
650		0	_aCommutative rings.
650		0	_aMatrix theory.
650		0	_aAlgebra.
650	1	4	_aMathematics.
650	2	4	_aAssociative Rings and Algebras.
650	2	4	_aCategory Theory, Homological Algebra.
650	2	4	_aCommutative Rings and Algebras.
650	2	4	_aLinear and Multilinear Algebras, Matrix Theory.
700	1		_aHazewinkel, Michiel. _eeditor.
700	1		_aGubareni, Nadiya. _eeditor.
700	1		_aKirichenko, V.V. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781402051401
830		0	_aMathematics and Its Applications ; _v586
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4020-5141-8
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c508971 _d508971