000			02872nam a22003858i 4500
001			CR9780511721250
003			UkCbUP
005			20200124160217.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100303s1984||||enk o ||1 0|eng|d
020			_a9780511721250 (ebook)
020			_z9780521277389 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA251.5 _b.F35 1984
082	0	0	_a512/.4 _219
100	1		_aFaith, Carl, _d1927-2014, _eauthor.
245	1	0	_aFPF ring theory : _bfaithful modules and generators of mod-R / _cCarl Faith, Stanley Page.
264		1	_aCambridge : _bCambridge University Press, _c1984.
300			_a1 online resource (1 volume (various pagings)) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v88
500			_aTitle from publisher's bibliographic system (viewed on 31 May 2016).
520			_aThis is the first book on the subject of FPF rings and the systematic use of the notion of the generator of the category mod-R of all right R-modules and its relationship to faithful modules. This carries out the program, explicit of inherent, in the work of G Azumaya, H. Bass, R. Dedekind, S. Endo, I. Kaplansky, K. Morita, T. Nakayama, R. Thrall, and more recently, W. Brandal, R. Pierce, T. Shores, R. and S. Wiegand and P. Vamos, among others. FPF rings include quasi-Frobenius rings (and thus finite rings over fields), pseudo-Frobenius (PF) rings (and thus injective cogenerator rings), bounded Dedekind prime rings and the following commutative rings; self-injective rings, Prufer rings, all rings over which every finitely generated module decomposes into a direct sum of cyclic modules (=FGC rings), and hence almost maximal valuation rings. Any product (finite or infinite) of commutative or self-basic PFP rings is FPF. A number of important classes of FPF rings are completely characterised including semiprime Neotherian, semiperfect Neotherian, perfect nonsingular prime, regular and self-injective rings. Finite group rings over PF or commutative injective rings are FPF. This work is the culmination of a decade of research and writing by the authors and includes all known theorems on the subject of noncommutative FPF rings. This book will be of interest to professional mathematicians, especially those with an interest in noncommutative ring theory and module theory.
650		0	_aFPF rings.
650		0	_aAssociative rings.
650		0	_aModules (Algebra)
650		0	_aCategories (Mathematics)
700	1		_aPage, Stanley, _eauthor.
776	0	8	_iPrint version: _z9780521277389
830		0	_aLondon Mathematical Society lecture note series ; _v88.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511721250
999			_c516386 _d516384