English

Deciding absorption in relational structures

Rings and Algebras 2016-01-26 v1

Abstract

We prove that for finite, finitely related algebras the concepts of an absorbing subuniverse and a J\'onsson absorbing subuniverse coincide. Consequently, it is decidable whether a given subset is an absorbing subuniverse of the polymorphism algebra of a given relational structure.

Keywords

Cite

@article{arxiv.1601.06450,
  title  = {Deciding absorption in relational structures},
  author = {Libor Barto and Jakub Bulín},
  journal= {arXiv preprint arXiv:1601.06450},
  year   = {2016}
}

Comments

20 pages

R2 v1 2026-06-22T12:35:44.076Z