Identical relation on ordered semigroup

doi:10.3778/j.issn.1002-8331.2010.34.005

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (34): 15-16.DOI: 10.3778/j.issn.1002-8331.2010.34.005

• 博士论坛 • Previous Articles Next Articles

Identical relation on ordered semigroup

HAN Sheng-wei

College of Mathematics and Information Science，Shaanxi Normal University，Xi’an 710062，China

Received:2010-08-23 Revised:2010-10-26 Online:2010-12-01 Published:2010-12-01
Contact: HAN Sheng-wei

序半群上的等同关系

韩胜伟

陕西师范大学数学与信息科学学院，西安 710062

通讯作者: 韩胜伟

Abstract

Abstract: In this paper，the identical relations between two subsets of quantale are first introduced.Secondly，in terms of the quantale completion of ordered semigroup，the concept of an identical relation between two subsets of ordered semigroup is given.Finally，some of the properties of the identical relations on ordered semigroup are discussed.

Key words: complete lattice, Quantale, ordered semigroup, congruence

摘要： 首先引入了Quantale上两个子集之间的等同关系；其次，利用序半群的Quantale完备化给出了序半群上两个子集之间的等同关系；最后，讨论了序半群上三个不同等同关系的性质。

关键词: 完备格, Quantale, 序半群, 同余

CLC Number:

O153.1

HAN Sheng-wei. Identical relation on ordered semigroup[J]. Computer Engineering and Applications, 2010, 46(34): 15-16.

韩胜伟. 序半群上的等同关系[J]. 计算机工程与应用, 2010, 46(34): 15-16.

[1]	PENG Jiayin. Disturbing fuzzy finite switchboard state machines [J]. Computer Engineering and Applications, 2016, 52(22): 1-8.
[2]	ZHAO Fangfang, LI Lingqiang. Generalizations of closure operators and neighborhood systems [J]. Computer Engineering and Applications, 2016, 52(21): 68-71.
[3]	PAN Fangfang. Irreducible Quantale [J]. Computer Engineering and Applications, 2016, 52(18): 51-53.
[4]	KOU Haiyan, WU Hongbo. MP-filters and fundamental isomorphism theorem of regular FI-algebras [J]. Computer Engineering and Applications, 2016, 52(10): 39-43.
[5]	SUN Jing, LI Shenggang. Intuitionistic fuzzy filters and congruence relations in Fuzzy Implication algebra [J]. Computer Engineering and Applications, 2016, 52(1): 17-19.
[6]	WEN Xianhong, WU Hongbo. Properties and connection of [⊕] ideal and congruence relation in MV-algebras [J]. Computer Engineering and Applications, 2015, 51(2): 60-63.
[7]	HUA Xiujuan. T- fuzzy filter of effect algebra [J]. Computer Engineering and Applications, 2015, 51(13): 25-27.
[8]	ZHI Huilai. Storage model of complete lattice based on theory of formal concept analysis [J]. Computer Engineering and Applications, 2013, 49(24): 1-3.
[9]	LI Wenting, XIN Xiaolong, YANG Yongwei. Fuzzy soft congruences over groups [J]. Computer Engineering and Applications, 2013, 49(22): 33-35.
[10]	CHEN Juanjuan1，2, LI Shenggang1. Fuzzy filters and fuzzy congruence relations on residuated lattices [J]. Computer Engineering and Applications, 2013, 49(17): 12-14.
[11]	LI Li, CHEN Ning. Simplication of congruence relations in residuated lattices [J]. Computer Engineering and Applications, 2013, 49(16): 68-70.
[12]	LIANG Shaohui1, HAN Shengwei2. Tensor product of double Quantales modules [J]. Computer Engineering and Applications, 2012, 48(9): 30-32.
[13]	HUA Xiujuan1, XIN Xiaolong1, ZHU Xi2. Fuzzy quotient sublattices [J]. Computer Engineering and Applications, 2012, 48(8): 35-36.
[14]	XIAO Qimei1，2, LI Qingguo1. Soft Quantale [J]. Computer Engineering and Applications, 2012, 48(6): 21-23.
[15]	PAN Fangfang1, HAN Shengwei2. Remark on coherent Quantale [J]. Computer Engineering and Applications, 2012, 48(30): 50-52.

Identical relation on ordered semigroup

序半群上的等同关系

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics