000 02420nam a22003858i 4500
001 CR9780511841699
003 UkCbUP
005 20200124160220.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 101021s2004||||enk o ||1 0|eng|d
020 _a9780511841699 (ebook)
020 _z9780521836876 (hardback)
020 _z9780521545372 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA251.4
_b.G65 2004
082 0 0 _a512/.4
_222
100 1 _aGoodearl, K. R.,
_eauthor.
245 1 3 _aAn introduction to noncommutative noetherian rings /
_cK.R. Goodearl, R.B. Warfield, Jr.
250 _aSecond edition.
264 1 _aCambridge :
_bCambridge University Press,
_c2004.
300 _a1 online resource (xxiv, 344 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society student texts ;
_v61
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis 2004 introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. Various important settings, such as group algebras, Lie algebras, and quantum groups, are sketched at the outset to describe typical problems and provide motivation. The text then develops and illustrates the standard ingredients of the theory: e.g., skew polynomial rings, rings of fractions, bimodules, Krull dimension, linked prime ideals. Recurring emphasis is placed on prime ideals, which play a central role in applications to representation theory. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. Material includes the basic types of quantum groups, which then serve as test cases for the theory developed.
650 0 _aNoetherian rings.
650 0 _aNoncommutative rings.
700 1 _aWarfield, Robert B.,
_d1940-
_eauthor.
776 0 8 _iPrint version:
_z9780521836876
830 0 _aLondon Mathematical Society student texts ;
_v61.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511841699
999 _c516658
_d516656