Subalgebras and congruences on partial abelian monoids

doi:10.3778/j.issn.1002-8331.2009.11.002

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (11): 5-7.DOI: 10.3778/j.issn.1002-8331.2009.11.002

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Subalgebras and congruences on partial abelian monoids

XIE Yong-jian¹,LI Yong-ming^1,2

1.College of Mathematics and Information Science，Shaanxi Normal University，Xi’an 710062，China
2.College of Computer Science，Shaanxi Normal University，Xi’an 710062，China

Received:2008-11-17 Revised:2009-01-19 Online:2009-04-11 Published:2009-04-11
Contact: XIE Yong-jian

部分可换半群的子代数与同余关系

颉永建¹,李永明^1,2

1.陕西师范大学数学与信息科学学院，西安 710062
2.陕西师范大学计算机科学学院，西安 710062

通讯作者: 颉永建

Abstract

Abstract: In this paper，the relationships of subalgebras and the congruences on partial abelian monoids are discussed.Furthermore，the structures of the quotient of partial abelian monoids are studied.It is proved that the congruences generated by Riesz ideals satisfy the cancellative law，and the quotient must be positive.

Key words: partial abelian monoids, congruences, Riesz subalgebras

摘要： 讨论了部分可换半群的子代数与同余关系之间的关系，进一步研究部分可换半群的商代数的结构。证明了部分可换半群上的Riesz子代数可诱导出满足消去律的同余关系，且通过此同余关系得到的商代数是满足正律的。

关键词: 部分可换半群, 同余关系, Riesz子代数

XIE Yong-jian¹,LI Yong-ming^1,2. Subalgebras and congruences on partial abelian monoids[J]. Computer Engineering and Applications, 2009, 45(11): 5-7.

颉永建¹,李永明^1,2. 部分可换半群的子代数与同余关系[J]. 计算机工程与应用, 2009, 45(11): 5-7.

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Subalgebras and congruences on partial abelian monoids

部分可换半群的子代数与同余关系

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