Operations on graphs determining congruences on graphs

Juhani Nieminen

Displaying similar documents to “Operations on graphs determining congruences on graphs”

Proper congruences do not imply a modular congruence lattice

M. G. Stone (1971)

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Notes on lattice congruences

Ivan Chajda (1978)

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Characterizations of weakly modular lattices

Iqbalunnisa (1966)

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Reflexive relations and Mal'tsev conditions for congruence lattice identities in modular varieties

Gábor Czédli, Eszter K. Horváth (2002)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Decomposition of Congruence Modular Algebras into Atomic, Atomless Locally Uniform and Anti-Uniform Parts

Bogdan Staruch, Bożena Staruch (2016)

Bulletin of the Section of Logic

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We describe here a special subdirect decomposition of algebras with modular congruence lattice. Such a decomposition (called a star-decomposition) is based on the properties of the congruence lattices of algebras. We consider four properties of lattices: atomic, atomless, locally uniform and anti-uniform. In effect, we describe a star-decomposition of a given algebra with modular congruence lattice into two or three parts associated to these properties.

Subalgebras and homomorphic images of algebras having the CEP and the WCIP

Andrzej Walendziak (2004)

Czechoslovak Mathematical Journal

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In the present paper we consider algebras satisfying both the congruence extension property (briefly the CEP) and the weak congruence intersection property (WCIP for short). We prove that subalgebras of such algebras have these properties. We deduce that a lattice has the CEP and the WCIP if and only if it is a two-element chain. We also show that the class of all congruence modular algebras with the WCIP is closed under the formation of homomorphic images.