島根大学理学部紀要

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島根大学理学部紀要 25
1991-12-25 発行

P-正則半群上のP-合同関係の表現

Representations of P-Congruences on P-Regular Semigroups
岡本 洋介
今岡 輝男
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内容記述(抄録等)
One of the purposes of this paper is to characterize congruences on P-regular semigroups by using P-congruence pairs, which is the P-gular version of congruence pairs fo regular semigroups. The other is to study congruences on a P-regular semigroup S with the same trace, the restriction of a congruence to the set of idempotents of S. Also the specialtypes of congruences on P-regular semigroups are observed.