基本正則[*]半群について

島根大学理学部紀要 Volume 14 Page 19-23 published_at 1980-12-20
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Title
基本正則[*]半群について
Title
On Fundamental Regular [*] Semigroups
Title Transcription
キホン セイソク [*] ハングン ニツイテ
Creator
Source Title
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
Volume 14
Start Page 19
End Page 23
Journal Identifire
ISSN 03879925
Descriptions
A semigroup S is called to be fundameutal if its only one comgruence contaiued in the Green's relation 〓 on S is the trivial one. Let S be a regular * semigroup, and let E and P be the sets of idempotents and projections of S, respectively. In his paper [3], T. E. Hall gives us the construction of a fundamental regular semigroup T_<E> which is a generalization of [2] and [4]. In this paper, we shall show that the set of projections plays an important role in the theory of regular * semigroups, and construct a fundamental regular * semigroup T_p, say, by using P instead of <E>.
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学理学部
The Faculty of Science, Shimane University
Date of Issued 1980-12-20
Access Rights open access
Relation
[NCID] AN00108106