ArticleOriginal scientific text
Title
On a periodic part of pseudo-BCI-algebras
Authors 1
Affiliations
- Institute of Mathematics and Computer Science, The John Paul II Catholic University of Lublin, Konstantynów 1H, 20–708 Lublin, Poland
Abstract
In the paper the connections between the set of some maximal elements of a pseudo-BCI-algebra and deductive systems are established. Using these facts, a periodic part of a pseudo-BCI-algebra is studied.
Keywords
pseudo-BCI-algebra, deductive system, periodic part
Bibliography
- W.A. Dudek and Y.B. Jun, Pseudo-BCI algebras, East Asian Math. J. 24 (2008), 187-190.
- G. Dymek, Atoms and ideals of pseudo-BCI-algebras, Comment. Math. 52 (2012), 73-90.
- G. Dymek, On compatible deductive systems of pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 22 (2014), 167-187.
- G. Dymek, On a period of an element of pseudo-BCI-algebras, Discuss. Math. Gen. Algebra Appl., to appear..
- G. Dymek, On pseudo-BCI-algebras, Ann. Univ. Mariae Curie-Skłodowska Sect. A, to appear..
- G. Dymek, p-semisimple pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 19 (2012), 461-474.
- A. Iorgulescu, Algebras of logic as BCK algebras, Editura ASE,Bucharest, 2008..
- K. Iséki, An algebra related with a propositional calculus, Proc. Japan Acad. 42 (1966), 26-29. doi: 10.3792/pja/1195522171
- Y.B. Jun, H.S. Kim and J. Neggers, On pseudo-BCI ideals of pseudo BCI-algebras, Mat. Vesnik 58 (2006), 39-46.