The Structure of Commutative Semigroups with the Ideal Retraction Property

被引：0

作者：

K. D. Aucoin

J. A. Dumesnil

J. A. Hildebrant

机构：

[1] Department of Mathematics,

[2] McNeese State University,undefined

[3] Lake Charles,undefined

[4] LA 70609 ,undefined

[5] Stephen F. Austin State University Nacogdoches,undefined

[6] Texas 75962,undefined

[7] Louisiana State University Baton Rouge,undefined

[8] LA 70803,undefined

来源：

Semigroup Forum | 2004年 / 68卷

关键词：

Building Block; Early Paper; Complete Characterization; Commutative Semigroup; Ideal Retraction;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A semigroup is said to have the ideal retraction property when each of its ideals is a homomorphic retraction of the whole semigroup. This paper presents a complete characterization of the commutative semigroups that enjoy this property. The fundamental building blocks of these semigroups are the 2-cores and the semilattice of idempotents. Structure for semilattices with the ideal retraction property was discussed in an earlier paper and the structure of the 2-core is described in detail within this paper.

引用

页码：202 / 208

页数：6

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