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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
Title Alternative
On Right Self-injective, Right Non-singular Semigroups
File
language
eng
Author
Shoji, Kunitaka
Description
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.
Journal Title
Memoirs of the Faculty of Science, Shimane University
Volume
26
Start Page
43
End Page
53
ISSN
03879925
Published Date
1992-12-25
NCID
AN00108106
Publisher
島根大学理学部
Publisher Aalternative
The Faculty of Science, Shimane University
NII Type
Departmental Bulletin Paper
Format
PDF
Text Version
出版社版
Gyoseki ID
e17830
OAI-PMH Set
Faculty of Science and Engineering