Irredundant Decomposition of Algebras into One-Dimensional Factors

• Autorzy: Bogdan Staruch
• Języki publikacji: EN

Abstrakty

EN

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 subdirect product. We obtain the star-decomposition of algebras into one-dimensional factors, which generalizes the known decomposition theorems e.g. for Abelian groups, linear spaces, Boolean algebras.

Słowa kluczowe

EN

universal algebra; algebraic lattice; congruence lattice; uniform lattice; dimension of algebra; one-dimensional algebra; 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

Identyfikatory

DOI

10.18778/0138-0680.45.3.4.06