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Creator:
Jakubík, Ján
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
abelian lattice ordered group , disjoint subset , cut completion , and Dedekind completion
Language:
English
Description:
We denote by $F_a$ the class of all abelian lattice ordered groups $H$ such that each disjoint subset of $H$ is finite. In this paper we prove that if $G \in F_a$, then the cut completion of $G$ coincides with the Dedekind completion of $G$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Jakubík, J.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
convergence l-group , disjoint subset , direct product, lexico extension , and lexico extension
Language:
English
Description:
In this paper we deal with the relation limα limα X = limα X for a subset X of G, where G is an el-group and α is a sequential convergence on G.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public
Creator:
Jakubík, Ján
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
lattice ordered group , l-ideal , congruence lattice , and disjoint subset
Language:
English
Description:
In the present note we characterize finite lattices which are isomorphic to the congruence lattice of an abelian lattice ordered group.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public