We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Engel, Nilpotent and Solvable BCI-algebras.
- Authors
Mohammadzadeh, Elahe; Borzooei, Rajab Ali
- Abstract
In this paper, we define the concepts of Engel, nilpotent and solvable BCI-algebras and investigate some of their properties. Specially, we prove that any BCK-algebra is a 2-Engel. Then we define the center of a BCI-algebra and prove that in a nilpotent BCI-algebra X, each minimal closed ideal of X is contained in the center of X. In addition, with some conditions, we show that every finite BCI-algebra is solvable. Finally, we investigate the relations among Engel, nilpotent and solvable BCI(BCK)-algebras.
- Subjects
ENGEL curve; NILPOTENT groups; SOLVABLE groups; FINITE groups; ALGEBRA
- Publication
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019, Vol 27, Issue 1, p169
- ISSN
1224-1784
- Publication type
Article
- DOI
10.2478/auom-2019-0009