TY - JOUR
ID - 1591
TI - EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Mirhosseinkhani, Gh.
AU - Nazari, N.
AD - Department of Mathematics and Computer Sciences, Sirjan University of Technology,
Sirjan, Iran.
AD - Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.
Y1 - 2020
PY - 2020
VL - 7
IS - 2
SP - 217
EP - 226
KW - Fuzz
KW - Topological fuzz
KW - Molecular lattice
KW - Equalizer
DO - 10.22044/jas.2019.7254.1355
N2 - 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.
UR - http://jas.shahroodut.ac.ir/article_1591.html
L1 - http://jas.shahroodut.ac.ir/article_1591_456819627dfad4d16a4612d7f8c0f596.pdf
ER -