期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2002
卷号：30
DOI：10.1155/S0161171202109203
出版社：Hindawi Publishing Corporation
摘要：We consider rings admitting a Matlis dualizing module E. We argue that if R admits two such dualizing modules, then a module is reflexive with respect to one if and only if it is reflexive with respect to the other. Using this fact we argue that
the number (whether finite or infinite) of distinct dualizing modules equals the number of distinct invertible
(R,R)-bimodules. We show by example that this number can be greater than one.
