N. Kehayopulu, I. S. Ponizovskii, K.-P. Shum, “Retract extensions of ordered sets”, Zap. Nauchn. Sem. POMI, 2005, Volume 321,Pages <nobr>205

This article is cited in 1 paper

Retract extensions of ordered sets

N. Kehayopulu^a, I. S. Ponizovskii^b, K.-P. Shum^c

^a National and Capodistrian University of Athens, Department of Mathematics
^b Russian State Hydrometeorological University
^c Chinese University of Hong Kong

Abstract: Ideal extensions of ordered semigroups have been considered by Kehayopulu and Tsingelis in [9]. Ideal extensions of ordered sets have been considered by Kehayopulu in [10]. Equivalent extensions of ordered sets have been considered by Kehayopulu and Shum in [11]. In the present paper we introduce and study the concept of the retract extensions of ordered sets. There are given an example of an extension which is retract and an example of an extension which is not retract.

UDC: 512

Received: 10.12.2004

Language: English