Description

• Title:
  Irredundant Decomposition of Algebras into One-Dimensional Factors
• Creator:
  Staruch, Bogdan
• Contributor:
  University of Warmia and Mazury, Olsztyn, Department of Mathematics and Computer Science;
  bstar@uwm.edu.pl
• Description:
  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.
• Object availability:
  free access
• Rights:
  © Copyright by Authors, Łódź 2016; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2016
• Date:
  2017.07.10;
  2016
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;3/4;
  45
• Subject:
  universal algebra;
  algebraic lattice;
  congruence lattice;
  uniform lattice;
  dimension of algebra;
  one-dimensional algebra;
  subdirect product;
  star-product;
  decomposition of algebra
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/22187 ;
  2449-836X;
  10.18778/0138-0680.45.3.4.06
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  seek permission
• Type:
  image