000 01513nam a22002537a 4500
999 _c54793
_d54793
008 210322b ||||| |||| 00| 0 eng d
020 _a9780521599238
082 _a512.4
_bAUS
100 _aAuslander, Maurice.
245 _aRepresentation theory of Artin algebras
260 _aCambridge:
_bCambridge University Press,
_c1997.
300 _axiv, 425 p. : ill. ;
_bpb,
_c23 cm.
365 _aGBP
_b74.99
440 _aCambridge studies in advanced mathematics ; 36
504 _aIncludes bibliographical references (p. 413-420) and index.
520 _aThis book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is a suitable introduction for any mathematician (especially graduate students) to this field. The main aim of the book is to illustrate how the theory of almost split sequences is used in the representation theory of Artin algebras. However, other foundational aspects of the subject are developed. These results give concrete illustrations of some of the more abstract concepts and theorems. The book includes complete proofs of all theorems, and numerous exercises.
650 _aArtin algebras
650 _aArtin rings
650 _aRepresentations of algebras
650 _aAlgebra
700 _aReiten, Idun
700 _aSmalo, Sverre O.
942 _cTD