| File | |
| Title |
一般化された逆半群における特殊対合について
|
| Title |
Note on Special Involutions in a Generalized Inverse Semigroup
|
| Title Transcription |
イッパンカサレタ ギャク ハングン ニ オケル トクシュ タイゴウ 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 | 17 |
| Start Page | 1 |
| End Page | 8 |
| Journal Identifire |
ISSN 03879925
|
| Descriptions |
Abstract
A unary operation * : S→S on a semigroup S is called a special involution if it satisfies (1) (x^*)^*=x, (2) (xy)^*=y^*x^* and (3) xx^*x=x for all x, y∈S. It has been shown by [5] that every special involution in a regular semigroup S is determined by the p-system in S. In this paper, we shall determine all the p-systems in a generalized inverse semigroup S, and accordiugly all the special involutions in S. Further, we shall investigate the cardinality of the set of p-systems in S.
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学理学部
The Faculty of Science, Shimane University
|
| Date of Issued | 1983-12-25 |
| Access Rights | open access |
| Relation |
[NCID]
AN00108106
|
