File | |
Title |
基本正則[*]半群について
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Title |
On Fundamental Regular [*] Semigroups
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Title Transcription |
キホン セイソク [*] ハングン ニツイテ
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Creator | |
Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
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Volume | 14 |
Start Page | 19 |
End Page | 23 |
Journal Identifire |
ISSN 03879925
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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>.
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Language |
eng
|
Resource Type | departmental bulletin paper |
Publisher |
島根大学理学部
The Faculty of Science, Shimane University
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Date of Issued | 1980-12-20 |
Access Rights | open access |
Relation |
[NCID] AN00108106
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