Geodesic
Quasi-regular Relations – A New Class of Relations on Sets
Publications de l'Institut Mathématique, _N_S_93 (2013) no. 107, p. 127 .

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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 : 06A11 06B35 
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     author = {Daniel A. Romano},
     title = {Quasi-regular {Relations} {\textendash} {A} {New} {Class} of {Relations} on {Sets}},
     journal = {Publications de l'Institut Math\'ematique},
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     year = {2013},
     language = {en},
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Daniel A. Romano. Quasi-regular Relations – A New Class of Relations on Sets. Publications de l'Institut Mathématique, _N_S_93 (2013) no. 107, p. 127 . http://geodesic.mathdoc.fr/item/PIM_2013_N_S_93_107_a9/