Complex algebras of subalgebras

K. Adaricheva, A. Pilitowska, D. Stanovský

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

Let V be a variety of algebras. We specify a condition (the so-called generalized entropic property), which is equivalent to the fact that for every algebra A V, the set of all subalgebras of A is a subuniverse of the complex algebra of the subalgebras of A. The relationship between the generalized entropic property and the entropic law is investigated. Also, for varieties with the generalized entropic property, we consider identities that are satisfied by complex algebras of subalgebras.

Original languageEnglish
Pages (from-to)367-383
Number of pages17
JournalAlgebra and Logic
Volume47
Issue number6
DOIs
Publication statusPublished - Nov 2008

Keywords

  • Complex algebra
  • Complex algebra of subalgebras
  • Entropic law
  • Linear identity
  • Mediality
  • Mode

ASJC Scopus subject areas

  • Analysis
  • Logic

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