• Title of article

    RM ALGEBRAS an‎d COMMUTATIVE MOONS

  • Author/Authors

    Walendziak, Andrzej Siedlce University of Natural Sciences and Humanities - Faculty of Exact and Natural Sciences, Poland

  • Pages
    12
  • From page
    95
  • To page
    106
  • Abstract
    Some generalizations of BCI algebras (the RM, BH, CI, BCH, BH**, BCH**, and *aRM** algebras) satisfying the identity (x → 1) → y = (y → 1) → x are considered. The connections of these algebras and various generalizations of commutative groups (such as, for example, involutive commutative moons and commutative (weakly) goops) are described. In particular, it is proved that an RM algebra verifying this identity is equivalent to an involutive commutative moon.
  • Keywords
    RM , BH , CI , BCH , BCI algebra , moon , p-semisimplicity
  • Journal title
    International Electronic Journal of Algebra
  • Serial Year
    2021
  • Full Text URL
    dergipark.org.tr/en/download/article-file/1482933
  • Record number

    2599021

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2599021