strongly cotop modules
چکیده
in this paper, we introduce the dual notion of strongly top modules and study some of the basic properties of this class of modules.
in this paper, we introduce the dual notion of strongly top modules and study some of the basic properties of this class of modules.
In this paper, we introduce the dual notion of strongly top modules and study some of the basic properties of this class of modules.
an r-module m is called strongly noncosingular if it has no nonzero rad-small (cosingular) homomorphic image in the sense of harada. it is proven that (1) an r-module m is strongly noncosingular if and only if m is coatomic and noncosingular; (2) a right perfect ring r is artinia
An R-module M is called strongly noncosingular if it has no nonzero Rad-small (cosingular) homomorphic image in the sense of Harada. It is proven that (1) an R-module M is strongly noncosingular if and only if M is coatomic and noncosingular; (2) a right perfect ring R is Artinia
We introduce the notion of strong test module and show that a large number of such modules appear in the tight closure theory of complete domains: the test ideal (this has already been known), the parameter test module, and the module of relative test elements. They also appear a
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