Direct decompostions of lattices, II

Otomar Hájek

Displaying similar documents to “Direct decompostions of lattices, II”

Ring-like structures derived from $λ$ -lattices with antitone involutions

Ivan Chajda (2007)

Mathematica Bohemica

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Using the concept of the $λ$ -lattice introduced recently by V. Snášel we define $λ$ -lattices with antitone involutions. For them we establish a correspondence to ring-like structures similarly as it was done for ortholattices and pseudorings, for Boolean algebras and Boolean rings or for lattices with an antitone involution and the so-called Boolean quasirings.

On vector lattices of elementary Carathéodory functions

Ján Jakubík (2005)

Czechoslovak Mathematical Journal

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In this paper we deal with the vector lattice $C (B)$ of all elementary Carathéodory functions corresponding to a generalized Boolean algebra $B$ .

Some properties of Eulerian lattices

R. Subbarayan, A. Vethamanickam (2014)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we prove that Eulerian lattices satisfying some weaker conditions for lattices or some weaker conditions for 0-distributive lattices become Boolean.

Displaying similar documents to “Direct decompostions of lattices, II”

Ring-like structures derived from λ -lattices with antitone involutions

On vector lattices of elementary Carathéodory functions

Some properties of Eulerian lattices

Ring-like structures derived from $λ$ -lattices with antitone involutions