| File | |
| Title |
右自己移入的かつ右非特異的半群について
|
| Title |
On Right Self-injective, Right Non-singular Semigroups
|
| Title Transcription |
ミギ ジコ イニュウテキ カツ ミギ ヒ トクイテキ ハングン ニツイテ
|
| Creator | |
| Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 26 |
| Start Page | 43 |
| End Page | 53 |
| Journal Identifire |
ISSN 03879925
|
| Descriptions |
Abstract
It is shown that each right self injective, right nonsingular semigroup is isomorphic to a direct product of right self-injective, right non-singular semigroups of types (I), (II), (III), (IV). The structures of those semigroups of four types are studied. In particular. it is shown that every semigroup of type (I) is a semilattice of groups. It is proved that every right self-injective, right non-singular regular semigroup is strongly left reversible. This gives another proof that every semigroup of type (I) is absolutely flat and, consequently, a semigroup amalgamation base.
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学理学部
The Faculty of Science, Shimane University
|
| Date of Issued | 1992-12-25 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Relation |
[NCID]
AN00108106
|
