On a periodic part of pseudo-BCI-algebras

• Autorzy: Grzegorz Dymek
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

pseudo-BCI-algebra; deductive system; periodic part

Kategorie tematyczne

• 06F35: BCK-algebras, BCI-algebras
• 03G25: Other algebras related to logic

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2015
• Tom: 35
• Numer: 2
• Strony: 139-157

Daty

wydano

2015

otrzymano

2015-01-15

Twórcy

autor

Grzegorz Dymek

• Institute of Mathematics and Computer Science, The John Paul II Catholic University of Lublin, Konstantynów 1H, 20–708 Lublin, Poland

Bibliografia

• [1] W.A. Dudek and Y.B. Jun, Pseudo-BCI algebras, East Asian Math. J. 24 (2008), 187-190.
• [2] G. Dymek, Atoms and ideals of pseudo-BCI-algebras, Comment. Math. 52 (2012), 73-90.
• [3] G. Dymek, On compatible deductive systems of pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 22 (2014), 167-187.
• [4] G. Dymek, On a period of an element of pseudo-BCI-algebras, Discuss. Math. Gen. Algebra Appl., to appear..
• [5] G. Dymek, On pseudo-BCI-algebras, Ann. Univ. Mariae Curie-Skłodowska Sect. A, to appear..
• [6] G. Dymek, p-semisimple pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 19 (2012), 461-474.
• [7] A. Iorgulescu, Algebras of logic as BCK algebras, Editura ASE,Bucharest, 2008..
• [8] K. Iséki, An algebra related with a propositional calculus, Proc. Japan Acad. 42 (1966), 26-29. doi: 10.3792/pja/1195522171
• [9] Y.B. Jun, H.S. Kim and J. Neggers, On pseudo-BCI ideals of pseudo BCI-algebras, Mat. Vesnik 58 (2006), 39-46.

Identyfikatory

DOI

10.7151/dmgaa.1237