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On co-Filters in Semigroups with Apartness
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 607 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
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     author = {Daniel A. Romano},
     title = {On {co-Filters} in {Semigroups} with {Apartness}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {607 },
     year = {2021},
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     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a7/}
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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/