Strongly bi-conjugative Relation — A new element in the class of bi-conjugative relations

Abstract

The concept of regular relations at sets and the concepts of some other relations derived from these, such as normal and conjugative relations, have been the subject of study by several researchers. The concepts of bi-conjugative relations, finite extension of bi-conjugative relations and weakly finite extension of bi-conjugative relations were introduced and analyzed by Romano. In this paper, as a continuation of previous research, the author introduces and analyzes the concept of strongly bi-conjugative relations and one of its finitely extension as a specific case of bi-conjugative relations.