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- W2052176005 abstract "ABSTRACT Given a ring R, we investigate a subfunctor Z* of the identity functor on the category of all right R-modules which is defined by is a small module, for any R-module M. We prove that if the ring R satisfies the descending chain condition for right annihilators and is an Artinian ring for every primitive ideal P then for every right R-module M, where S is the left socle of R. Moreover the ring R is semiprime Artinian if and only if R is right bounded, R satisfies the descending chain condition for right annihilators and for some faithful right R-module M." @default.
- W2052176005 created "2016-06-24" @default.
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- W2052176005 date "2002-01-12" @default.
- W2052176005 modified "2023-10-17" @default.
- W2052176005 title "THEZ* FUNCTOR FOR RINGS WHOSE PRIMITIVE IMAGES ARE ARTINIAN" @default.
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- W2052176005 doi "https://doi.org/10.1081/agb-120014676" @default.
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