On the category of pseudo-BCI-algebras

• Autorzy: Dymek G.
• Języki publikacji: EN

Abstrakty

EN

The category psBCI of pseudo-BCI-algebras and homomorphisms between them is investigated. It is also shown that the category psBCIp of p-semisimple pseudo-BCI-algebras and homomorphisms between them is a reflective subcategory of psBCI.

Słowa kluczowe

EN

pseudo-BCI-algebra

PL

pseudo-algebra BCI

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 4
• Strony: 631--644
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Dymek G.

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

Bibliografia

• [1] D. Buşneag, Categories of Algebraic Logic, Editura Academiei Romane, Bucharest, 2006.
• [2] D. Buşneag, M. Ghiţă, Some properties of epimorphisms of Hilbert algebras, Cent. Eur. J. Math. 8 (2010), 41–52.
• [3] W. A. Dudek, Y. B. Jun, Pseudo-BCI algebras, East Asian Math. J. 24 (2008), 187–190.
• [4] G. Dymek, On compatible deductive systems of pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput., to appear.
• [5] G. Dymek, p-semisimple pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 19 (2012), 461–474.
• [6] M. Ghiţă, Some categorical properties of Hilbert algebras, An. Univ. Craiova Ser. Mat. Inform. 36 (2009), 95–104.
• [7] K. Iséki, An algebra related with a propositional calculus, Proc. Japan Acad. 42 (1966), 26–29.
• [8] Y. B. Jun, H. S. Kim, J. Neggers, On pseudo-BCI ideals of pseudo BCI-algebras, Mat. Vesnik 58 (2006), 39–46.
• [9] K. J. Lee, C. H. Park, Some ideals of pseudo-BCI algebras, J. Appl. Math. Informatics 27 (2009), 217–231.
• [10] T. D. Lei, C. C. Xi, p-radical in BCI-algebras, Math. Japonica 30 (1985), 511–517.
• [11] L. Popescu, N. Popescu, Theory of Categories, Editura Academiei Romane, Bucharest, 1979.