ON POTENT RINGS

Title & Authors
ON POTENT RINGS
Li, Bingjun;

Abstract
A ring R is called an $\small{I_0}$-ring if each left ideal not contained in the Jacobson radical J(R) contains a non-zero idempotent. If, in addition, idempotents can be lifted modulo J(R), R is called an I-ring or a potent ring. We study whether these properties are inherited by some related rings. Also, we investigate the structure of potent rings.
Keywords
potent rings;idempotents;Jacobson radical;formal power series ring;
Language
English
Cited by
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