On algebraic operations of a lattice-ordered group
This paper contains a result of Cantor-Bernstein type concerning archimedean lattice ordered 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.
In this paper we investigate sufficient conditions for the validity of certain implications concerning direct products of lattice-ordered groups.
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.
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