RM ALGEBRAS AND COMMUTATIVE MOONS

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International Electronic Journal of Algebra
Volume:29 Issue:29
RM ALGEBRAS AND COMMUTATIVE MOONS

RM ALGEBRAS AND COMMUTATIVE MOONS

Pages : 95-106

View : 144 | Download : 9

Publication Date : 2021-01-05

Article Type : Research Paper

Abstract :Some generalizations of BCI algebras insert ignore into journalissuearticles values(the RM, BH, CI, BCH, BH**, BCH**, and *aRM** algebras); satisfying the identity $insert ignore into journalissuearticles values(x \rightarrow 1);\rightarrow y = insert ignore into journalissuearticles values(y \rightarrow 1); \rightarrow x$ are considered. The connections of these algebras and various generalizations of commutative groups insert ignore into journalissuearticles values(such as, for example, involutive commutative moons and commutative insert ignore into journalissuearticles values(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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