On pseudo-BCI-algebras

• Autorzy: Grzegorz Dymek
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

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

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2015
• Tom: 69
• Numer: 1

Daty

wydano

2015

online

2015-11-30

Twórcy

autor

Grzegorz Dymek

Bibliografia

• 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.

Identyfikatory

DOI

10.17951/a.2015.69.1.59