Characterizations of weakly modular lattices
Iqbalunnisa (1966)
Fundamenta Mathematicae
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Displaying similar documents to “Weakly atomic lattices with Stonean congruence lattice”
Characterizations of weakly modular lattices
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Transitive closures of binary relations. III.
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On lattices whose lattices of congruences are Stone lattice
Iqbalunnisa (1971)
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On types of lattices
Iqbalunnisa (1966)
Fundamenta Mathematicae
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Weakly regular lattices
Ivan Chajda (1985)
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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.