On algebraic operations of a lattice-ordered group
Projectable kernel of a lattice ordered group
Convex isomorphisms of Archimedean lattice ordered groups.
This paper contains a result of Cantor-Bernstein type concerning archimedean lattice ordered groups.
On absolute retracts and absolute convex retracts in some classes of l-groups
By dealing with absolute retracts of l-groups we use a definition analogous to that applied by Halmos for the case of Boolean algebras. The main results of the present paper concern absolute convex retracts in the class of all archimedean l-groups and in the class of all complete l-groups.
Isomorphisms of direct products of lattice-ordered groups
In this paper we investigate sufficient conditions for the validity of certain implications concerning direct products of lattice-ordered groups.
On the lattice of additive hereditary properties of finite graphs
In this paper it is proved that the lattice of additive hereditary properties of finite graphs is completely distributive and that it does not satisfy the Jordan-Dedekind condition for infinite chains.
The Interval Topology of an -Group
Poznámka o absolutne konvergentných radoch
Konvexné reťazce v čiastočne usporiadaných grupách
Centrum nekonečne distributívnych sväzov
Sequential convergences on free lattice ordered groups
In this paper the partially ordered set Conv of all sequential convergences on is investigated, where is either a free lattice ordered group or a free abelian lattice ordered group.
O konvergencii v lineárnych priestoroch
Sequential convergences in distributive lattices
In this paper we investigate the system Conv of all sequential convergences on a distributive lattice .
On projective intervals in a modular lattice
In this paper a combinatorial result concerning paire of projective intervals of a modular lattice will be established.
Valuations on modular lattices
It is well-known that there exist infinite modular lattices possessing no non-trivial valuations. In this paper a class of modular lattices is defined and it is proved that each lattice belonging to has a nontrivial valuation. Next, a result of . Birkhoff concerning valuations on modular lattices of finite length is generalized.
Sequential convergences in lattices
The notion of sequential convergence on a lattice is defined in a natural way. In the present paper we investigate the system of all sequential convergences on a lattice .
Über die Intervalltopologie auf einer halbgeordneten Gruppe
On directed groups with additional operations
This paper deals with a question concerning -ideals of -groups which was proposed by V. M. Kopytov and Z. J. Dimitrov. We shall also investigate a class of -groups which is in a certain sense near to the class of all lattice ordered groups.
Retracts of abelian lattice ordered groups
Completions and closures of cyclically ordered groups
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