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

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Title
Some Remarks on Representations of Generalized Inverse [*-]Semigroups
Creator
Ogawa Takahide
Source Title
島根大学総合理工学部紀要. シリーズB
Volume 30
Start Page 23
End Page 35
Journal Identifire
ISSN 13427121
Descriptions
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.
Subjects
Representation ( Other)
regular [*]-semigroup ( Other)
generalized inverse semigroup ( Other)
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学総合理工学部
Date of Issued 1997-01
Publish Type Version of Record
Access Rights open access
Relation
[NCID] AA11157123