On pseudo-BCI-algebras

Grzegorz Dymek

Abstract


The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.

Keywords


Pseudo-BCI-algebra; normal pseudo-BCI-algebra; extension of pseudo-BCI-algebra

Full Text:

PDF

References


Dudek, W. A., Jun, Y. B., Pseudo-BCI algebras, East Asian Math. J. 24 (2008), 187–190.

Dymek, G., Atoms and ideals of pseudo-BCI-algebras, Comment. Math. 52 (2012), 73–90.

Dymek, G., p-semisimple pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 19 (2012), 461–474.

Dymek, G., On compatible deductive systems of pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 22 (2014), 167–187.

Dymek, G., Kozanecka-Dymek, A., Pseudo-BCI-logic, Bull. Sect. Logic Univ. Łódz 42 (2013), 33–42.

Halaˇs, R., K¨uhr, J., Deductive systems and annihilators of pseudo-BCK-algebras, Ital. J. Pure Appl. Math. 25 (2009).

Iorgulescu, A., Algebras of Logic as BCK Algebras, Editura ASE, Bucharest, 2008.

Is´eki, K., An algebra related with a propositional calculus, Proc. Japan Acad. 42 (1966), 26–29.

Jun, Y. B., Kim, H. S., Neggers, J., On pseudo-BCI ideals of pseudo BCI-algebras, Mat. Vesnik 58 (2006), 39–46.




DOI: http://dx.doi.org/10.17951/a.2015.69.1.59
Date of publication: 2015-11-30 09:21:11
Date of submission: 2015-09-03 12:23:01


Statistics


Total abstract view - 821
Downloads (from 2020-06-17) - PDF - 505

Indicators



Refbacks

  • There are currently no refbacks.


Copyright (c) 2015 Grzegorz Dymek