On rings with finite self-injective dimension
نویسندگان
چکیده
منابع مشابه
Torsionfree Dimension of Modules and Self-injective Dimension of Rings
Let R be a left and right Noetherian ring. We introduce the notion of the torsionfree dimension of finitely generated R-modules. For any n 0, we prove that R is a Gorenstein ring with self-injective dimension at most n if and only if every finitely generated left R-module and every finitely generated right R-module have torsionfree dimension at most n, if and only if every finitely generated le...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 1979
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927877908822356