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Title Transcription
シュウキ ジュングン ニツイテ ノ イチ チュウイ
Title Alternative (English)
A Remark on Periodic Semigroups
File
language
eng
Author
Yamada, Miyuki
Description
Following S. Schwarz [3], a semigroup S is called a periodic semigroup, if every element of S has a finite order, that is, if, for every element a of S, the subsemigroup (a) = {a │ a, a^2, . . ., a^n, . . .} generated by a contains a finite number of different elements. Any strongly reversible periodic semigroup is the class sum of mutually disjoint unipotent semigroups. This theorem has been proved by K. Iseki [2]. The purpose of this note is to present a necessary and sufficient condition for a periodic semigroup to be a band of unipotent homogroups, and some relevant matters. Throughout the paper, S will denote a periodic semigroup.
Journal Title
島根大学論集. 自然科学
Volume
9
Start Page
1
End Page
5
ISSN
04886542
Published Date
1959-02-28
NCID
AN0010814X
Publisher
島根大学
Publisher Aalternative
Shimane University
NII Type
Departmental Bulletin Paper
OAI-PMH Set
Faculty of Science and Engineering
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