島根大学理学部
ISSN:0387-9925
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島根大学理学部紀要 13
1979-12-20 発行
グリーン関係が両立的であるような強正則半群について
Orthodox Semigroups on which Green's Relations are Compatible
庄司 邦孝
山田 深雪
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This paper is a cotinuation of the previous paper [11]. Krishna Iyengar [2] has showm that a regular semigroup is D-compatible if and only if it is a semilattice of bisimple semigroups. In this paper, the structure of bisimple orthodox semigroups, especially that of H-compatible bisimple orthodox semigroups, is clarified. Further, we investigate the structure of orthodox sernigroups S on which some of the Green's relations H_s, L_s, R_s and D_s are compatible.
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