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