Strongly K-nonsingular 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...
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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 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...
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ژورنال
عنوان ژورنال: Ibn AL- Haitham Journal For Pure and Applied Science
سال: 2019
ISSN: 2521-3407,1609-4042
DOI: 10.30526/32.1.1919