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：
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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.
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页码：202 / 208
页数：6
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