QUASI-REGULAR RELATIONS – A NEW CLASS OF RELATIONS ON SETS
Mathematical Institute of the Serbian Academy of Sciences and Arts
Following Jiang Guanghao and Xu Luoshan’s concept of conjugative, dually conjugative, normal and dually normal relations on sets, 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 quasiregular. 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.