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On the Schröder-Bernstein problem for Carathéodory vector lattices

Ján Jakubík (2009)

Czechoslovak Mathematical Journal

In this note we prove that there exists a Carathéodory vector lattice V such that V ≅ V 3 and V ≇ V 2 . This yields that V is a solution of the Schröder-Bernstein problem for Carathéodory vector lattices. We also show that no Carathéodory Banach lattice is a solution of the Schröder-Bernstein problem.

On varieties of pseudo M V -algebras

Ján Jakubík (2003)

Czechoslovak Mathematical Journal

In this paper we investigate the relation between the lattice of varieties of pseudo M V -algebras and the lattice of varieties of lattice ordered groups.

Currently displaying 221 – 240 of 449