| File | |
| Title |
一般化された逆[*]半群の巾等元の恒等式
|
| Title |
Identities for Idempotents of Generalized Inverse [*-] Semigroups
|
| Title Transcription |
イッパンカ サレタ ギャク [*] ハングン ノ キントウゲン ノ コウトウシキ
|
| Creator |
Yamamoto Hifumi
|
| Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 28 |
| Start Page | 9 |
| End Page | 11 |
| Journal Identifire |
ISSN 03879925
|
| Descriptions |
Abstract
It is well-known that an orthodox semigroup S is a generalized inverse semigroup if the set E(S) of idempotents of S satisfies one of the following identities : (I.1)x1x2x3x4=x1x3x2x4, (I.2)x1x2x3x1=x1x3x2x1 and (I.3)x1x2x1x3x1=x1x3x1x2x1 (see [4]). In this paper, we shall show that a regular [*-] semigroup S is a generalized inverse [*-] semigroup if E(S) [the set P(S) of projections of S] satisfies the identity (I.2)[(I.1)], but it is not necessarily a generalized inverse [*-] semigroup even if E(S) [P(S)] satisfies (I.3)[(I.2)].
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学理学部
The Faculty of Science, Shimane University
|
| Date of Issued | 1994-12-26 |
| Access Rights | open access |
| Relation |
[NCID]
AN00108106
|
