Geodesic
On co-Filters in Semigroups with Apartness
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 607

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The logical environment of this research is the Intuitionistic Logic and principled-philosophical orientation of the Bishop's Constructive Mathematics. In this paper, basing our consideration on the sets with the apartness relation, we analyze the lattices of all co-filters of an ordered semigroup under a co-quasiorder as a continuation of our article \cite{Rom18}. We prove a number of results related to co-filters in a semigroup with apartness and the lattice of all co-filters of such semigroups.
Classification : 03F65, 20M99, 06F05, 06D99
Keywords: Bishop's constructive mathematics, semigroup with apartness, co-order and co-quasiorder relations, co-filters 
@article{KJM_2021_45_4_a7,
     author = {Daniel A. Romano},
     title = {On {co-Filters} in {Semigroups} with {Apartness}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {607 },
     publisher = {mathdoc},
     volume = {45},
     number = {4},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a7/}
}
TY  - JOUR
AU  - Daniel A. Romano
TI  - On co-Filters in Semigroups with Apartness
JO  - Kragujevac Journal of Mathematics
PY  - 2021
SP  - 607 
VL  - 45
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a7/
LA  - en
ID  - KJM_2021_45_4_a7
ER  - 
%0 Journal Article
%A Daniel A. Romano
%T On co-Filters in Semigroups with Apartness
%J Kragujevac Journal of Mathematics
%D 2021
%P 607 
%V 45
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a7/
%G en
%F KJM_2021_45_4_a7
Daniel A. Romano. On co-Filters in Semigroups with Apartness. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 607 . http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a7/