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Mac Neille completion of centers and centers of Mac Neille completions of lattice effect algebras

Martin Kalina (2010)

Kybernetika

If element $z$ of a lattice effect algebra $(E, \oplus, 0, 1)$ is central, then the interval $[0, z]$ is a lattice effect algebra with the new top element $z$ and with inherited partial binary operation $\oplus$ . It is a known fact that if the set $C (E)$ of central elements of $E$ is an atomic Boolean algebra and the supremum of all atoms of $C (E)$ in $E$ equals to the top element of $E$ , then $E$ is isomorphic to a subdirect product of irreducible effect algebras ([18]). This means that if there exists a MacNeille completion $\hat{E}$ of $E$ which is its extension...

Maximale Gegenketten im Verband $3^{n}$

Ivo Rosenberg (1967)

Archivum Mathematicum

Measures on coallocation and normal lattices.

Chan, Jack-Kang (1992)

International Journal of Mathematics and Mathematical Sciences

Metrics and tolerances

Ivan Chajda, Bohdan Zelinka (1978)

Archivum Mathematicum

Modular and metric multilattices

Milan Kolibiar, Judita Lihová (1995)

Mathematica Slovaca

Modular functions on multilattices

Anna Avallone (2002)

Czechoslovak Mathematical Journal

We prove that every modular function on a multilattice $L$ with values in a topological Abelian group generates a uniformity on $L$ which makes the multilattice operations uniformly continuous with respect to the exponential uniformity on the power set of $L$ .