昇降鎖律をみたす正則半群についての諸注意

島根大学理学部紀要 Volume 19 Page 23-36 published_at 1985-12-25
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c0010019r003.pdf 2.07 MB エンバーゴ : 2001-09-29
Title
昇降鎖律をみたす正則半群についての諸注意
Title
Some Remarks on Regular Semigroups Satisfying Chain Conditions
Title Transcription
ショウコウ サリツ オ ミタス セイソク ハングン ニツイテノ ショチュウイ
Creator
Yamada Miyuki
Source Title
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
Volume 19
Start Page 23
End Page 36
Journal Identifire
ISSN 03879925
Descriptions
The class of semigroups satisfying the descending chain conditions on principal (left, right) ideals has been studied by Green [2], Munn [4] and some other papers. In this paper, we shall give a survey on the structure of the class of regular semigroups satisfying chain conditions.
Firstly, several kinds of both ascending chain conditions (a.c.c. for short) and descending chain conditions (d.c.c. for short) on (left, right) ideals or on Green's relations L, R, J are introduced, and the regular semigroups with O, each of which satisfies some of these chain conditions, are studied. Secondly, the concepts of "L(R, or J)-bounded" and "locally L(R, or J)-bounded" are also introduced, and the connection between these properties and the chain conditions are discussed.
Language
eng
Resource Type departmental bulletin paper
Publisher
島根大学理学部
The Faculty of Science, Shimane University
Date of Issued 1985-12-25
Access Rights open access
Relation
[NCID] AN00108106