EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 93(107), pp. 127–132 (2013)

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QUASI-REGULAR RELATIONS – A NEW CLASS OF RELATIONS ON SETS

Daniel A. Romano

Faculty of Education, East Sarajevo University, 76300 Bijeljina, Bosnia and Herzegovina

Abstract: Following Jiang Guanghao and Xu Luoshan's concept of conjugative, dually conjugative, normal and dually normal relations on sets, %introduced in articles \cite{4}, \cite{5} and \cite{6}, the concept of quasi-regular relations is introduced. Characterizations of quasi-regular relations are obtained and it is shown when an anti-order relation is quasi-regular. Some nontrivial examples of quasi-regular relations are given. At the end we introduce dually quasi-regular relations and give a connection between these two types of relations.

Classification (MSC2000): 06A11; 06B35

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Electronic fulltext finalized on: 2 Apr 2013. This page was last modified: 8 Apr 2013.

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