島根大学理学部紀要

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島根大学理学部紀要 26
1992-12-25 発行

右自己移入的かつ右非特異的半群について

On Right Self-injective, Right Non-singular Semigroups
庄司 邦孝
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内容記述(抄録等)
It is shown that each right self injective, right nonsingular semigroup is isomorphic to a direct product of right self-injective, right non-singular semigroups of types (I), (II), (III), (IV). The structures of those semigroups of four types are studied. In particular. it is shown that every semigroup of type (I) is a semilattice of groups. It is proved that every right self-injective, right non-singular regular semigroup is strongly left reversible. This gives another proof that every semigroup of type (I) is absolutely flat and, consequently, a semigroup amalgamation base.