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Title Transcription
H リョウリツ ギ キョウ セイソク ハングン ニツイテ
Title Alternative (English)
On H-Compatible Quasi-orthodox Semigroups
File
language
eng
Author
Yamada, Miyuki
Shoji, Kunitaka
Description
This is a continuation of the previous papers [3], [4] and [5]. The structure of general quasi-orthodoxsemigroups has been studied in [3] , and construction theorems for upwards directed quasi-orthodox semigroups and split quasi-orthodox semigroups have been given in [5]. On the other hand, the structure of H-compatible orthodox semigroups has been clarified in [4]. In this paper, we shall show that a regular extension S of a completely regular semigroup M~ ∑{M_λ : λ∈Λ} by an inverse semigroup Γ(Λ) is H-compatible if and only if M is H-compatible and Γ(Λ) is H-degenerated. By using this result, it will be also shown that a natural regular semigroup S in the sense of Warne [2] is H-compatible if and only if the union of maximal subgroups of S is an H-compatible subsemigroup of S. Further, a necessary and sufficient condition for a regular semigroup to be H-compatible is also given.
Journal Title
Memoirs of the Faculty of Science, Shimane University
Volume
13
Start Page
1
End Page
9
ISSN
03879925
Published Date
1979-12-20
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
e17827
OAI-PMH Set
Faculty of Science and Engineering
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