The L -ordered semigroups based on L -partial orders

Huang Xiaokun; Li Qingguo; Xiao Qimei

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The L -ordered semigroups based on L -partial orders

机译：基于 L 部分阶的 L 有序半群

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摘要

Fuzzy (frame-valued) ordered semigroups are investigated with the orders being L-partial orders. In this framework, L-left (resp. L-right) ideals, L-bi-ideals and L-quasi-ideals of an L-ordered semigroup are discussed, the idea of which is applied to the characterizations of regular and duo L-ordered semigroups. In addition, the relationship between an L-ordered semigroup and an L-topological semigroup is studied. As a consequence, an isomorphism between the category of L-ordered semigroups and the category of L-topological semigroups with the topologies being L-T-0 and Alexandrov is obtained. (C) 2017 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2018年第15期|31-50|共20页
作者
Huang Xiaokun; Li Qingguo; Xiao Qimei;
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作者单位

Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha 410004, Hunan, Peoples R China;

Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类数学;
关键词
L-ordered semigroups; L-topological semigroups; Regular; L-left (resp L-right) ideals; L-bi-ideals; L-quasi-ideals; Categorical isomorphism;

机译：L-有序半群;L-拓扑半群;常规;左左（resp L-右）理想;L-bi-ideals;L-准理想;分类同构;

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The L -ordered semigroups based on L -partial orders

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