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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.

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