Abstract

In this paper, we present some properties of regular rings. The properties are developed from the properties of regular semigroups. The properties of regular rings here are especially related to the center of the rings, division rings, Boolean rings, commutative rings, and subrings. The division and Boolean rings must be regular rings. The center of a regular ring is also a regular ring. A regular ring has to be a commutative ring. In addition, a subring of a regular ring is also a regular ring.

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