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島根大学理学部紀要 14 巻
1980-12-20 発行
擬強正則半群の構造
The Structure of Quasi-orthodox Semigroups
山田 深雪
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A regular semigroup S is said to be quasi-orthodox if there exist an inverse semigroup Г with basic semilattice Λ (that is, Λ is the semilattice of idempotents of Γ) and a surjective homomorphism f: S→Γ such that λf^<-1> is a completely simple subsemigroup of S for each λ∈Λ. In this paper, the structure of quasi-orthodox semigroups is studied.
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