Properties not retained by pointed enrichments of finite lattices

Ainur O. Basheyeva, Manat Mustafa, Anvar M. Nurakunov

Research output: Contribution to journalArticlepeer-review

Abstract

The present work considers algebras and their enrichments. It is shown by two examples of finite lattices that the properties “to have (no) a finite basis of quasi-identities” and “to generate a standard topological quasivariety” are not preserved with respect to pointed enrichments of finite algebras.

Original languageEnglish
Article number56
JournalAlgebra Universalis
Volume81
Issue number4
DOIs
Publication statusPublished - Nov 1 2020

Keywords

  • Finite basis of quasi-identities
  • Lattice
  • Pointed algebra
  • Quasivariety
  • Topological quasivariety
  • Variety

ASJC Scopus subject areas

  • Algebra and Number Theory

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