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A reduction theorem for ring varieties whose subvariety lattice is distributive

Mikhail V. Volkov (2010)

Discussiones Mathematicae - General Algebra and Applications

We prove a theorem (for arbitrary ring varieties and, in a stronger form, for varieties of associative rings) which basically reduces the problem of a description of varieties with distributive subvariety lattice to the case of algebras over a finite prime field.

A relational semantics for the logic of bounded lattices

Luciano J. González (2019)

Mathematica Bohemica

This paper aims to propose a complete relational semantics for the so-called logic of bounded lattices, and prove a completeness theorem with regard to a class of two-sorted frames that is dually equivalent (categorically) to the variety of bounded lattices.

A remark on λ -regular orthomodular lattices

Vladimír Rogalewicz (1989)

Aplikace matematiky

A finite orthomodular lattice in which every maximal Boolean subalgebra (block) has the same cardinality k is called λ -regular, if each atom is a member of just λ blocks. We estimate the minimal number of blocks of λ -regular orthomodular lattices to be lower than of equal to λ 2 regardless of k .

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