Memoirs of the Faculty of Science, Shimane University

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Memoirs of the Faculty of Science, Shimane University 27
1993-12-25 発行

正則帯の特殊融合について

Note on Special Amalgamation for Regular Bands
Imaoka, Teruo
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Description
Let (E_1(Γ_1), E_2(Γ_2); U(Δ)) be a special amalgam of regular bands. In [2], the author showed that the amalgam (E_1(Γ_1), E_2(Γ_2); U(Δ)) is strongly embedded in a regular band whose structure semilattice is the free product of Γ_1 and Γ_2 amalgamating Δ in the class of semilattices. In this paper, we shall show that for any bundled semilattice Γ of a special amalgam (Γ_1, Γ_2 ; Δ) of semilattices, the amalgam (E_1(Γ_1), E_2(Γ_2); U(Δ)) can be embedded in a regular band whose structure semilattice is Ω.