RM ALGEBRAS AND COMMUTATIVE MOONS
Some generalizations of BCI algebras (the RM, BH, CI, BCH,
BH**, BCH**, and *aRM** algebras) satisfying the identity $(x \rightarrow
1)\rightarrow y = (y \rightarrow 1) \rightarrow x$ 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,
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- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI