島根大学理学部紀要

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島根大学理学部紀要 16
1982-12-25 発行

[*-]正則半群について

Note on [*-]Regular Semigroups
山田 深雪
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内容記述(抄録等)
This paper is a continuation and a supplement to the previous paper [3]. For any element x of a *-regular semigroup (with *-operation*) in the sense of K. S. S. Nambooripad and F. J. C. M. Pastijn [1], there exists a unique inverse x^+ of x such that x^*Hx^+. The main purpose of this paper is to investigate several conditions for a *-regular semigroup S to be a special *-regular semigroup with respect to the unary operation + : S→S.