Geodesic
Selected Properties of Some Generalizations of BCK Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 1, pp. 89-103

Voir la notice de l'article provenant de la source Library of Science

The notion of a RM algebra, introduced recently, is a generalization of many other algebras of logic. The class of RM algebras contains (weak-)BCC algebras, BCH algebras, BCI algebras, BCK algebras and many others. A RM algebra is an algebra A = (A; →, 1) of type (2, 0) satisfying the identities: x → x = 1 and 1 → x = x. In this paper we study the set of maximal elements of a RM algebra, branches of a RM algebra and moreover translation deductive systems of a RM algebra giving so called the Representation Theorem for RM algebras.
Keywords: RM algebra, deductive system 
@article{DMGAA_2020_40_1_a7,
     author = {Dymek, Grzegorz},
     title = {Selected {Properties} of {Some} {Generalizations} of {BCK} {Algebras}},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {89--103},
     publisher = {mathdoc},
     volume = {40},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a7/}
}
TY  - JOUR
AU  - Dymek, Grzegorz
TI  - Selected Properties of Some Generalizations of BCK Algebras
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2020
SP  - 89
EP  - 103
VL  - 40
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a7/
LA  - en
ID  - DMGAA_2020_40_1_a7
ER  - 
%0 Journal Article
%A Dymek, Grzegorz
%T Selected Properties of Some Generalizations of BCK Algebras
%J Discussiones Mathematicae. General Algebra and Applications
%D 2020
%P 89-103
%V 40
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a7/
%G en
%F DMGAA_2020_40_1_a7
Dymek, Grzegorz. Selected Properties of Some Generalizations of BCK Algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 1, pp. 89-103. http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a7/