Flat endofinite modules, prime ideals, and duality

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• 作者：Wolfgang Rump^a ; ^{rump@mathematik.uni-stuttgart.de" class="auth_mail} ; Simon Schmider^b ; ¹ ; ^{schmider@mathematik.uni-kl.de" class="auth_mail}
• 关键词：primary ; 16D40 ; 16D90 ; 16P90 ; 16L60 ; 16S90 ; 16S85 ; secondary ; 16H20
• 刊名：Journal of Algebra
• 出版年：1 June 2014
• 年：2014
• 卷：407
• 期：Complete
• 页码：149-177
• 全文大小：457 K

文摘

Bijective correspondences are established between endofinite injective left modules, endofinite flat right modules, finite collections of minimal noetherian prime ideals, normalized rank functions on left ideals and characters. Endofinite flat modules are identified as flat covers of modules associated to a minimal noetherian prime ideal, while endofinite flat injectives are characterized by localizations with a semiprimary QF-3 quotient ring.