On Ordered rpp Semigroups with Max-idempotents

• 作者: Chenchen Ren K.P. Shum Xiaojiang Guo
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 序半群 幂等元 RPP半群 结构定理 CuO 自然 排序
• 年，卷（期）: 2015,（1）
• 页码范围: 11-22
• 页数: 12页
• 分类号: O152.7
• 语种: 中文

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.