Affine completeness of complete lattice ordered groups

Ján Jakubík

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Displaying similar documents to “Affine completeness of complete lattice ordered groups”

Affine completness of projectable lattice ordered groups

Ján Jakubík, Mária Csontóová (1998)

Czechoslovak Mathematical Journal

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Affine completeness and wreath product decompositions of lattice ordered group

Ján Jakubík (2008)

Czechoslovak Mathematical Journal

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Let $Δ$ and $H$ be a nonzero abelian linearly ordered group or a nonzero abelian lattice ordered group, respectively. In this paper we prove that the wreath product of $Δ$ and $H$ fails to be affine complete.

On the affine completeness of lattice ordered groups

Ján Jakubík (2004)

Czechoslovak Mathematical Journal

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In the paper it is proved that a nontrivial direct product of lattice ordered groups is never affine complete.

Affine completeness and lexicographic product decompositions of abelian lattice ordered groups

Ján Jakubík (2005)

Czechoslovak Mathematical Journal

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In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete.

On compatible and order-preserving functions on lattices

D. Dorninger, G. Eigenthaler (1982)

Banach Center Publications

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