000			02770nam a22003618i 4500
001			CR9781139087346
003			UkCbUP
005			20200124160234.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110512s2010||||enk o ||1 0|eng|d
020			_a9781139087346 (ebook)
020			_z9780521199605 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050		4	_aQA251.5 _b.F38 2010
082	0	4	_a512.4 _222
100	1		_aFaticoni, Theodore G. _q(Theodore Gerard), _d1954- _eauthor.
245	1	0	_aModules over endomorphism rings / _cTheodore G. Faticoni.
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (xx, 372 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 130
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. Preliminary results -- 2. Class number of an abelian group -- 3. Mayer-Victoris sequences -- 4. Lifting units -- 5. conductor -- 6. Conductors and groups -- 7. Invertible fractional ideals -- 8. L-groups -- 9. Modules and homotopy classes -- 10. Tensor functor equivalences -- 11. Characterizing endomorphisms -- 12. Projective modules -- 13. Finitely generated modules -- 14. Rtffr E-projective groups -- 15. Injective endomorphism modules -- 16. diagram of categories -- 17. Diagrams of abelian groups -- 18. Marginal isomorphisms.
520			_aThis is an extensive synthesis of recent work in the study of endomorphism rings and their modules, bringing together direct sum decompositions of modules, the class number of an algebraic number field, point set topological spaces, and classical noncommutative localization. The main idea behind the book is to study modules G over a ring R via their endomorphism ring EndR(G). The author discusses a wealth of results that classify G and EndR(G) via numerous properties, and in particular results from point set topology are used to provide a complete characterization of the direct sum decomposition properties of G. For graduate students this is a useful introduction, while the more experienced mathematician will discover that the book contains results that are not otherwise available. Each chapter contains a list of exercises and problems for future research, which provide a springboard for students entering modern professional mathematics.
650		0	_aEndomorphism rings.
650		0	_aModules (Algebra)
776	0	8	_iPrint version: _z9780521199605
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 130.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139087346
999			_c517854 _d517852