Article ID Journal Published Year Pages File Type
4587266 Journal of Algebra 2009 10 Pages PDF
Abstract

Our main purpose is to characterize the class of almost perfect domains (introduced by Bazzoni and Salce [S. Bazzoni, L. Salce, Almost perfect domains, Colloq. Math. 95 (2003) 285–301]) by weak-injectivity. Weak-injective modules have been discussed by Lee [S.B. Lee, Weak-injective modules, Comm. Algebra 34 (2006) 361–370; S.B. Lee, A note on the Matlis category equivalence, J. Algebra 299 (2006) 854–862]. Here we add some more results on weak-injective modules before we give several characterizations of almost perfect domains.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory