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- W2158044564 abstract "Let R be a ring with identity and J(R) denote the Jacobson radical of R. In this paper, we introduce a new class of rings called feckly reduced rings. The ring R is called feckly reduced if R=J(R) is a reduced ring. We investigate relations between feckly reduced rings and other classes of rings. We obtain some characterizations of being a feckly reduced ring. It is proved that a ring R is feckly reduced if and only if every cyclic projective R-module has a feckly reduced endomorphism ring. Among others we show that every left Artinian ring is feckly reduced if and only if it is 2-primal, R is feckly reduced if and only if T(R;R) is feckly reduced if and only if R[x]= is feckly reduced." @default.
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- W2158044564 date "2015-01-01" @default.
- W2158044564 modified "2023-10-18" @default.
- W2158044564 title "Feckly Reduced Rings" @default.
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- W2158044564 doi "https://doi.org/10.15672/hjms.2015449413" @default.
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