Description

• Title:
  Decomposition of Congruence Modular Algebras into Atomic, Atomless Locally Uniform and Anti-Uniform Parts
• Creator:
  Staruch, Bogdan;
  Staruch, Bożena
• Contributor:
  University of Warmia and Mazury, Olsztyn, Department of Mathematics and Computer Science;
  bstar@uwm.edu.pl;
  bostar@matman.uwm.edu.pl
• Description:
  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.
• 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;
  atomic lattice;
  modular lattice;
  uniform lattice;
  subdirect product;
  star-product;
  decomposition of algebra
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/22186 ;
  2449-836X;
  10.18778/0138-0680.45.3.4.05
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  seek permission
• Type:
  image