| Title Transcription | カンゼン セイソク ハングン ノ ブブン チョクセキ ニツイテ ２,３ ノ チュウイ
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| Title Alternative (English) | Some Remarks on Subdirect Products of Compretely Regular Semigroups
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| File | |
| language |
eng
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| Author |
Yamada, Miyuki
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| Description | In this paper, the concept of a subspined product of completely regular semigroups are introduced. Firstly, we give a necessary and sufficient condition for a subspined product A[＃45度]B of cryptogroups A and B to be also a cryptogroup. Secondly, it is shown that a subspined product A [＃45度] B is necessarily a cryptogroup if one of A and B is a band and the other is a cryptogroup. It is also shown that any subspined product A ~ B coincides with the spined product A 〓 B if one of A and B is a Clifford semrgroup and the other is a band.
Finally, the concept of a subspined product is extended to the concept of a P-subspined product for the class of completely P-regular semigroups, and some considerations are given for P-subspined products of P-cryptogroups. |
| Journal Title |
Memoirs of the Faculty of Science, Shimane University
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| Volume | 23
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| Start Page | 11
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| End Page | 15
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| ISSN | 03879925
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| Published Date | 1989-12-25
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| NCID | AN00108106
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| Publisher | 島根大学理学部
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| Publisher Aalternative | The Faculty of Science, Shimane University
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| NII Type |
Departmental Bulletin Paper
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| OAI-PMH Set |
Faculty of Science and Engineering
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| 他の一覧 |
