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مقاله

strongly noncosingular modules

y. alagöz, i̇zmir institute of technology‎, ‎department‎ ‎of mathematics‎, ‎35430‎, i̇zmir, turkey. y. durğun, bitlis eren university‎, ‎department of mathematics‎, ‎13000‎, bitlis, ‎turkey.

چکیده

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) noncosingular r-modules; (3)absolutely coneat modules are strongly noncosingular if and only if r is a right max-ring and injective modules are strongly noncosingular; (4) a commutative ring r is semisimple if and only if the class of injective modules coincides with the class of strongly noncosingular r-modules.

اسناد مشابه

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    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

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    مقاله‌ی دسترسی آزاد۲۰۱۴TURKISH JOURNAL OF MATHEMATICSRachidTRIBAK

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    مقاله‌ی دسترسی آزاد۲۰۰۹Bulletin of the Australian Mathematical SocietyDERYA KESKINTÜTÜNCÜ, RACHIDTRIBAK

  • Strongly cotop modules

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    In this paper, we introduce the dual notion of strongly top modules and study some of the basic properties of this class of modules.

  • strongly cotop modules

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    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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