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Irredundant Decomposition of Algebras into One-Dimensional Factors
(Wydawnictwo Uniwersytetu Łódzkiego, 2016)
We introduce a notion of dimension of an algebraic lattice and, treating such a lattice as the congruence lattice of an algebra, we introduce the dimension of an algebra, too. We define a star-product as a special kind of ...
Decomposition of Congruence Modular Algebras into Atomic, Atomless Locally Uniform and Anti-Uniform Parts
(Wydawnictwo Uniwersytetu Łódzkiego, 2016)
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 ...