| File | |
| Title |
クリフォード半群のマトリックスおよびリースの定理の一般化について
|
| Title |
Matrices of Clifford Semigroups, and a Generalization of Rees's Theorem
|
| Title Transcription |
クリフォード ハングン ノ マトリックス オヨビ リース ノ テイリ ノ イッパンカ ニツイテ
|
| Creator |
Yamada Miyuki
|
| Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 20 |
| Start Page | 1 |
| End Page | 7 |
| Journal Identifire |
ISSN 03879925
|
| Descriptions |
Abstract
Let S be a completely regular semigroup, and E(S) the partial subgroupoid of idempotents of S. Let γ be a relation on E(S). If γ is a congruence on E(S), that is, if γ is an equivalence relation on E(S) and if χγｙ and μγν satisfy χμγｙν (if both χμ and ｙν are defined in E(S)), then S is called a CS-matrix. Firstly, several characterizations of a CS-matrix are given. Secondly, split CS-matrices are investigated. In particular, matrix representations of these semrgroups 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 | 1986-12-25 |
| Access Rights | open access |
| Relation |
[NCID]
AN00108106
|
