島根大学総合理工学部紀要.シリーズB

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島根大学総合理工学部紀要.シリーズB 30
1997-01 発行

Some Remarks on Representations of Generalized Inverse [*-]Semigroups

今岡 輝男
Ogawa Takahide
ファイル
内容記述(抄録等)
The Munn representation of an inverse semigroup S, in which the semigroup is represented by isomorphisms between principal ideals of the semilattice E(S), is not always faithful. By introducing a concept of a presemilattice, Reilly considered of enlarging the carrier set E(S) of the Munn representation in order to obtain a faithful representation of S as an inverse subsemigroup of a structure resembling the Munn semigroup TE(S).
The purpose of this paper is to obtain a generalization of the Reilly's results for generalized inverse[*]-semigroups.