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- W2007360425 abstract "A ring R is called a qc-ring if each cyclic R -module is quasi-injective. For various properties of these rings we refer to Ahsan ( 1 ) and Koehler ( 15 ). In this paper we shall obtain some additional results related to qc-rings. The scheme of the paper is as follows. Section 2 contains various preliminary definitions and results. In Section 3, we shall prove that every commutative hypercyclic ring is a qc-ring. In this section, we shall also show that a qc-ring which satisfies the ascending chain condition on its annihilators has nilpotent Jacobson-radical. Finally, in Section 4, we shall study rings all of whose proper factor rings are qc. Such rings will be called “ restricted qc ”." @default.
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- W2007360425 date "1974-09-01" @default.
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- W2007360425 title "On rings with quasi-injective cyclic modules" @default.
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- W2007360425 doi "https://doi.org/10.1017/s0013091500010269" @default.
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