Displaying similar documents to “Extensions of partially ordered partial abelian monoids”

Divisible effect algebras and interval effect algebras

Sylvia Pulmannová (2001)

Commentationes Mathematicae Universitatis Carolinae

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It is shown that divisible effect algebras are in one-to-one correspondence with unit intervals in partially ordered rational vector spaces.

Divisibility in certain automorphism groups

Ramiro H. Lafuente-Rodríguez (2007)

Czechoslovak Mathematical Journal

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We study solvability of equations of the form x n = g in the groups of order automorphisms of archimedean-complete totally ordered groups of rank 2. We determine exactly which automorphisms of the unique abelian such group have square roots, and we describe all automorphisms of the general ones.