EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ

Document Type: Original Manuscript

Authors

1 Department of Mathematics and Computer Sciences, Sirjan University of Technology, Sirjan, Iran.

2 Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.

Abstract

It is well known that the categories Fuzz of fuzzes and TopFuzz
of topological fuzzes are both complete and cocomplete, and some categorical
properties of them were introduced by many authors. In this paper, we introduce
the structure of equalizers in these categories. In particular, we show that every
regular monomorphism is an injective map, but monomorphisms need not be
injective, in general.

Keywords