| Title Transcription | イッパンカサレタ ギャク ハングン ニ オケル トクシュ タイゴウ ニツイテ
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| Title Alternative (English) | Note on Special Involutions in a Generalized Inverse Semigroup
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| File | |
| language |
eng
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| Author |
Yamada, Miyuki
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| Description | A unary operation * : S→S on a semigroup S is called a special involution if it satisfies (1) (x^*)^*=x, (2) (xy)^*=y^*x^* and (3) xx^*x=x for all x, y∈S. It has been shown by [5] that every special involution in a regular semigroup S is determined by the p-system in S. In this paper, we shall determine all the p-systems in a generalized inverse semigroup S, and accordiugly all the special involutions in S. Further, we shall investigate the cardinality of the set of p-systems in S.
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| Journal Title |
Memoirs of the Faculty of Science, Shimane University
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| Volume | 17
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| Start Page | 1
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| End Page | 8
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| ISSN | 03879925
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| Published Date | 1983-12-25
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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 |
