| Title Transcription | イッパンカ サレタ ギャク [*] ハングン ノ キントウゲン ノ コウトウシキ
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| Title Alternative (English) | Identities for Idempotents of Generalized Inverse [*-] Semigroups
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| File | |
| language |
eng
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| Author |
Yamamoto, Hifumi
Imaoka, Teruo
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| Description | It is well-known that an orthodox semigroup S is a generalized inverse semigroup if the set E(S) of idempotents of S satisfies one of the following identities : (I.1)x1x2x3x4=x1x3x2x4, (I.2)x1x2x3x1=x1x3x2x1 and (I.3)x1x2x1x3x1=x1x3x1x2x1 (see [4]). In this paper, we shall show that a regular [*-] semigroup S is a generalized inverse [*-] semigroup if E(S) [the set P(S) of projections of S] satisfies the identity (I.2)[(I.1)], but it is not necessarily a generalized inverse [*-] semigroup even if E(S) [P(S)] satisfies (I.3)[(I.2)].
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| Journal Title |
Memoirs of the Faculty of Science, Shimane University
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| Volume | 28
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| Start Page | 9
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| End Page | 11
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| ISSN | 03879925
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| Published Date | 1994-12-26
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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 |
