000 02233nam a22003738i 4500
001 CR9781139173315
003 UkCbUP
005 20200124160220.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 111013s1999||||enk o ||1 0|eng|d
020 _a9781139173315 (ebook)
020 _z9780521643405 (hardback)
020 _z9780521644075 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA251.4
_b.B43 1999
082 0 0 _a512/.4
_221
100 1 _aBeachy, John A.,
_eauthor.
245 1 0 _aIntroductory lectures on rings and modules /
_cJohn A. Beachy.
246 3 _aIntroductory Lectures on Rings & Modules
264 1 _aCambridge :
_bCambridge University Press,
_c1999.
300 _a1 online resource (viii, 238 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 ;
_v47
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThe focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates.
650 0 _aNoncommutative rings.
650 0 _aModules (Algebra)
776 0 8 _iPrint version:
_z9780521643405
830 0 _aLondon Mathematical Society student texts ;
_v47.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139173315
999 _c516636
_d516634