ファイル情報(添付) | |
タイトル |
逆半群による帯の正則拡大について
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タイトル |
Note on Regular Extensions of a Band by an Inverse Semigroup
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タイトル 読み |
ギャク ハングン ニヨル タイ ノ セイソク カクダイ ニツイテ
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著者 |
山田 深雪
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収録物名 |
島根大学文理学部紀要. 理学科編
Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences
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巻 | 8 |
開始ページ | 1 |
終了ページ | 11 |
収録物識別子 |
ISSN 03709434
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内容記述 |
抄録・要旨
This is a supplement to the previous papers [8], [9] and [10] . In [8], [9] and [10], the concept of a complete regular product S of a band B and an inverse semigroup Γ, and the concept of a half-direct product T of a left regular band E, an inverse semigroup Γ' and a right regular band F were introduced. In this paper, we first show that a semigroup M is inversive [quasi-(C)-inversive] if and only if M is isomorphic to a complete regular product of a band and a weakly C-inversive semigroup [a half-direct product of a left regular band, a weakny C-inversive semigroup and a right regular band] . If in particular Γ and Γ' are weakly C-inversive, both the spined product of B, Γ and that of E, Γ', F can be considered. When Γ [Γ'] is weakly C-inversive, we investigate the relationship between the complete regular products of B, Γ and the spined product of B, Γ [the half-direct products of E, Γ', F and the spined product of E, Γ', F].
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言語 |
英語
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資源タイプ | 紀要論文 |
出版者 |
島根大学文理学部
The Faculty of Literature and Science, Shimane University
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発行日 | 1975-03-10 |
アクセス権 | オープンアクセス |
関連情報 |
[NCID] AN0010806X
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