RM ALGEBRAS AND COMMUTATIVE MOONS

Andrzej WALENDZIAK

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

Makale detayları

RM ALGEBRAS AND COMMUTATIVE MOONS

Yazarlar:

Andrzej WALENDZIAK

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

1/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000717838

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

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

Özet:

 

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.

Makale detayları

RM ALGEBRAS AND COMMUTATIVE MOONS

Yazarlar: Andrzej WALENDZIAK

Yayıncı: Abdullah HARMANCI

Ana Başlıklar: Matematik

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

Belge Tipi: Makale

Yayın Tarihi: 1/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000717838

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

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

Sayı

Yazarlar:

Andrzej WALENDZIAK

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

1/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000717838

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

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