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The Join of the Variety of MV-Algebras and the Variety of Orthomodular Lattices

International Journal of Theoretical Physics, 2015
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Kühr, Jan   +2 more
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Embedding lattices in lattices of varieties of groups

Izvestiya: Mathematics, 1999
Let \(\Lambda\) denote the direct product of subspace lattices, one for each finite-dimensional vector space over the \(2\)-element field, and let \(\mathbb{A}_2\) be the group variety defined by the law \(x^2=1\). The main result of the paper is that \(\Lambda\) embeds in the interval \([\mathbb{A}_2^4,\mathbb{A}_2^5]\) of the lattice of group ...
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Varieties of lattices

1988
An interesting problem in universal algebra is the connection between the internal structure of an algebra and the identities which it satisfies. The study of varieties of algebras provides some insight into this problem. Here we are concerned mainly with lattice varieties, about which a wealth of information has been obtained in the last twenty years.
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Varieties of Commutative Integral Bounded Residuated Lattices Admitting a Boolean Retraction Term

Studia Logica: An International Journal for Symbolic Logic, 2012
R. Cignoli, A. Torrell
semanticscholar   +1 more source

Semisimplicity, EDPC and Discriminator Varieties of Residuated Lattices

Studia Logica: An International Journal for Symbolic Logic, 2004
T. Kowalski
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Free algebras in varieties of Stonean residuated lattices

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2007
R. Cignoli
semanticscholar   +1 more source

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