000 02745nam a22004335i 4500
001 978-3-642-41269-1
003 DE-He213
005 20140220082521.0
007 cr nn 008mamaa
008 131029s2014 gw | s |||| 0|eng d
020 _a9783642412691
_9978-3-642-41269-1
024 7 _a10.1007/978-3-642-41269-1
_2doi
050 4 _aQA150-272
072 7 _aPBF
_2bicssc
072 7 _aMAT002000
_2bisacsh
082 0 4 _a512
_223
100 1 _aBroué, Michel.
_eauthor.
245 1 0 _aSome Topics in Algebra
_h[electronic resource] :
_bAn Advanced Undergraduate Course at PKU /
_cby Michel Broué.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2014.
300 _aXII, 199 p. 16 illus., 12 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Lectures from Peking University,
_x2197-4209
505 0 _aPreface -- Rings and polynomial algebras -- Modules.
520 _aDuring the springs of 2011 and 2012, the author was invited by Peking University to give an advanced undergraduate algebra course (once a week over two months each year). This book was written during and for that course. By no way does it claim to be to exhaustive. It was originally intended as a brief introduction to algebra for an extremely pleasant and passionate audience. It certainly reflects some of the author’s own tastes, and it was influenced by the feelings and the reactions of the students. Nevertheless, the result covers some advanced undergraduate algebra (rings, ideals, basics of fields theory, algebraic integers, modules, hom and tensor functors, projective modules, etc…) illustrated by numerous examples, counterexamples and exercises. Following a worldwide tradition, the author had planned to conclude by lecturing on the structure of finitely generated modules over principal ideal domains. But during the course, after explaining that the notion of projective modules is more natural than the notion of free modules, it became clear that principal ideal domains needed to be replaced by Dedekind rings; this is much less traditional in the literature — but not more difficult.
650 0 _aMathematics.
650 0 _aAlgebra.
650 1 4 _aMathematics.
650 2 4 _aAlgebra.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642412684
830 0 _aMathematical Lectures from Peking University,
_x2197-4209
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-41269-1
912 _aZDB-2-SMA
999 _c93480
_d93480