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

• Autorzy: Bogdan Staruch , Bożena Staruch
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

universal algebra; algebraic lattice; congruence lattice; atomic lattice; modular lattice; uniform lattice; subdirect product; star-product; decomposition of algebra

• Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
• Czasopismo: Bulletin of the Section of Logic
• Rocznik: 2016
• Tom: 45
• Numer: 3/4

Daty

wydano

2016-12-30

Twórcy

autor

Bogdan Staruch

autor

Bożena Staruch

Identyfikatory

DOI

10.18778/0138-0680.45.3.4.05