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On Ordered rpp Semigroups with Max-idempotents 被引量:1

On Ordered rpp Semigroups with Max-idempotents
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摘要 In this paper, we establish a structure theorem of naturally ordered rpp semigroups with max-idempotents. Results on naturally ordered semigroups with max- idempotents in the literature are extended and amplified. Some previous results obtained by Blyth, McFadden, Cuo and Xie on regular and abundant ordered semigroups are ex- tended to ordered roo semigrouos. In this paper, we establish a structure theorem of naturally ordered rpp semigroups with max-idempotents. Results on naturally ordered semigroups with max- idempotents in the literature are extended and amplified. Some previous results obtained by Blyth, McFadden, Cuo and Xie on regular and abundant ordered semigroups are ex- tended to ordered roo semigrouos.
出处 《Algebra Colloquium》 SCIE CSCD 2015年第1期11-22,共12页 代数集刊(英文版)
关键词 naturally ordered semigroup rpp semigroup greatest inverse maximal idem-potent naturally ordered semigroup, rpp semigroup, greatest inverse, maximal idem-potent
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