Strongly Pure Ideals And Strongly Pure Sub-modules
نویسندگان
چکیده
منابع مشابه
Strongly noncosingular 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 Artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingula...
متن کاملStrongly cotop 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.
متن کاملSTRONGLY DUO AND CO-MULTIPLICATION MODULES
Let R be a commutative ring. An R-module M is called co-multiplication provided that foreach submodule N of M there exists an ideal I of R such that N = (0 : I). In this paper weshow that co-multiplication modules are a generalization of strongly duo modules. Uniserialmodules of finite length and hence valuation Artinian rings are some distinguished classes ofco-multiplication rings. In additio...
متن کاملstrongly noncosingular 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 artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingula...
متن کاملstrongly cotop 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.
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ژورنال
عنوان ژورنال: Kirkuk University Journal-Scientific Studies
سال: 2015
ISSN: 2616-6801
DOI: 10.32894/kujss.2015.102008