RM ALGEBRAS AND COMMUTATIVE MOONS

Andrzej WALENDZIAK

doi:https://doi.org/10.24330/ieja.852024

Article Details

RM ALGEBRAS AND COMMUTATIVE MOONS

Authors:

Andrzej WALENDZIAK

Publisher:

Abdullah HARMANCI

Main Topics:

Mathematics

Journal:

International Electronic Journal of Algebra 2021 Vol.29 Issue 29, pp.95-106

Document Type:

Article

Publication Date:

1/2021

Document Language:

English

Document ID (Org No.):

2000717838

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.852024

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(x→1)→y=(y→1)→x(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.

Article Details

RM ALGEBRAS AND COMMUTATIVE MOONS

Authors: Andrzej WALENDZIAK

Publisher: Abdullah HARMANCI

Main Topics: Mathematics

Journal: International Electronic Journal of Algebra 2021 Vol.29 Issue 29, pp.95-106

Document Type: Article

Publication Date: 1/2021

Document Language: English

Document ID (Org No.): 2000717838

Frequency: Monthly

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.852024

Issues

Authors:

Andrzej WALENDZIAK

Publisher:

Abdullah HARMANCI

Main Topics:

Mathematics

Journal:

International Electronic Journal of Algebra 2021 Vol.29 Issue 29, pp.95-106

Document Type:

Article

Publication Date:

1/2021

Document Language:

English

Document ID (Org No.):

2000717838

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.852024