Characterizations of (strongly) ordered regular relations on ordered semihypergroups

Gu Ze; Tang Xilin

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Characterizations of (strongly) ordered regular relations on ordered semihypergroups

机译：有序半超群上（强）有序正则关系的刻画

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In this paper, we give the fundamental normal homomorphism theorem of ordered semihypergroups. Moreover, we characterize the (strongly) ordered regular relations on an ordered semihypergroup by means of the rho-chain, and obtain that the set of all strongly ordered regular relations on an ordered semihypergroup consists a complete lattice. Finally, the subset of an ordered semihypergroup can serve as some ordered regular (ordered semilattice) relation class is determined. (C) 2016 Elsevier Inc. All rights reserved.

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《Journal of Algebra》 |2016年第null期|共11页
作者
Gu Ze; Tang Xilin;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Ordered semihypergroup; Ordered regular relation; Ordered semilattice relation; rho-chain; Convex set; Hyperideal; Hyperfilter;

机译：有序半超群;有序正则关系;有序半格关系;r-链;凸集;超理想;超滤;

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Characterizations of (strongly) ordered regular relations on ordered semihypergroups

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