000			03041nam a22004335i 4500
001			978-1-4020-5810-3
003			DE-He213
005			20251006084526.0
007			cr nn 008mamaa
008			100301s2007 ne | s |||| 0|eng d
020			_a9781402058103
020			_a99781402058103
024	7		_a10.1007/1-4020-5810-1 _2doi
082	0	4	_a512.46 _223
100	1		_aJespers, Eric. _eauthor.
245	1	0	_aNoetherian Semigroup Algebras _h[electronic resource] / _cby Eric Jespers, Jan Okniński.
264		1	_aDordrecht : _bSpringer Netherlands, _c2007.
300			_aV, 362 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aAlgebra and Applications ; _v7
505	0		_aPrerequisites on semigroup theory -- Prerequisites on ring theory -- Algebras of submonoids of polycyclic-by-finite groups -- General Noetherian semigroup algebras -- Principal ideal rings -- Maximal orders and Noetherian semigroup algebras -- Monoids of I-type -- Monoids of skew type -- Examples.
520			_aWithin the last decade, semigroup theoretical methods have occurred naturally in many aspects of ring theory, algebraic combinatorics, representation theory and their applications. In particular, motivated by noncommutative geometry and the theory of quantum groups, there is a growing interest in the class of semigroup algebras and their deformations. This work presents a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. These general results are then applied and illustrated in the context of important classes of algebras that arise in a variety of areas and have been recently intensively studied. Several concrete constructions are described in full detail, in particular intriguing classes of quadratic algebras and algebras related to group rings of polycyclic-by-finite groups. These give new classes of Noetherian algebras of small Gelfand-Kirillov dimension. The focus is on the interplay between their combinatorics and the algebraic structure. This yields a rich resource of examples that are of interest not only for the noncommutative ring theorists, but also for researchers in semigroup theory and certain aspects of group and group ring theory. Mathematical physicists will find this work of interest owing to the attention given to applications to the Yang-Baxter equation.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650	1	4	_aMATHEMATICS.
650	2	4	_aASSOCIATIVE RINGS AND ALGEBRAS.
700	1		_aOkniński, Jan. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781402058097
830		0	_aAlgebra and Applications ; _v7
856	4	0	_uhttp://dx.doi.org/10.1007/1-4020-5810-1 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c61448 _d61448