English

Deciding absorption

Rings and Algebras 2015-12-23 v1 Computational Complexity

Abstract

We characterize absorption in finite idempotent algebras by means of J\'onsson absorption and cube term blockers. As an application we show that it is decidable whether a given subset is an absorbing subuniverse of an algebra given by the tables of its basic operations.

Keywords

Cite

@article{arxiv.1512.07009,
  title  = {Deciding absorption},
  author = {Libor Barto and Alexandr Kazda},
  journal= {arXiv preprint arXiv:1512.07009},
  year   = {2015}
}
R2 v1 2026-06-22T12:15:43.190Z