03147nam a22005415i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001200153072001600165072002300181082001500204245012200219264004600341300003400387336002600421337002600447338003600473347002400509490004400533505027800577520108900855650001701944650002301961650002101984650003502005650002502040650002502065650002302090650001902113650001302132650001702145650003602162650004202198650003602240650005202276700003402328700003102362700003002393710003402423773002002457776003602477830004402513856004802557978-1-4020-5141-8DE-He21320180115171450.0cr nn 008mamaa100301s2007 ne | s |||| 0|eng d a97814020514187 a10.1007/978-1-4020-5141-82doi 4aQA251.5 7aPBF2bicssc 7aMAT0020102bisacsh04a512.4622310aAlgebras, Rings and Modulesh[electronic resource] /cedited by Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko. 1aDordrecht :bSpringer Netherlands,c2007. aXII, 400 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aMathematics and Its Applications ;v5860 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. 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. 0aMathematics. 0aAssociative rings. 0aRings (Algebra). 0aCategory theory (Mathematics). 0aHomological algebra. 0aCommutative algebra. 0aCommutative rings. 0aMatrix theory. 0aAlgebra.14aMathematics.24aAssociative Rings and Algebras.24aCategory Theory, Homological Algebra.24aCommutative Rings and Algebras.24aLinear and Multilinear Algebras, Matrix Theory.1 aHazewinkel, Michiel.eeditor.1 aGubareni, Nadiya.eeditor.1 aKirichenko, V.V.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9781402051401 0aMathematics and Its Applications ;v58640uhttp://dx.doi.org/10.1007/978-1-4020-5141-8