000 02413nam a22003978i 4500
001 CR9780511546518
003 UkCbUP
005 20200124160234.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090508s2004||||enk o ||1 0|eng|d
020 _a9780511546518 (ebook)
020 _z9780521838214 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA247
_b.E66 2004
082 0 0 _a512/.4
_222
100 1 _aColby, Robert R.
_q(Robert Ray),
_d1938-
_eauthor.
245 1 0 _aEquivalence and duality for module categories :
_bwith tilting and cotilting for rings /
_cRobert R. Colby, Kent R. Fuller.
246 3 _aEquivalence & Duality for Module Categories with Tilting & Cotilting for Rings
264 1 _aCambridge :
_bCambridge University Press,
_c2004.
300 _a1 online resource (ix, 152 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v161
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aSome module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings.
520 _aThis book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. In particular, during the past dozen or so years many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors, in particular by tilting and cotilting theories. By here collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors' aim is to provide an aid to further research in this central topic in abstract algebra, and a reference for all whose research lies in this field.
650 0 _aRings (Algebra)
650 0 _aModules (Algebra)
650 0 _aDuality theory (Mathematics)
700 1 _aFuller, Kent R.,
_eauthor.
776 0 8 _iPrint version:
_z9780521838214
830 0 _aCambridge tracts in mathematics ;
_v161.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511546518
999 _c517896
_d517894