On pseudo-BCI-algebras

Grzegorz Dymek

Annales UMCS, Mathematica (2015)

  • Volume: 69, Issue: 1, page 59-71
  • ISSN: 2083-7402

Abstract

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

How to cite

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Grzegorz Dymek. "On pseudo-BCI-algebras." Annales UMCS, Mathematica 69.1 (2015): 59-71. <http://eudml.org/doc/270871>.

@article{GrzegorzDymek2015,
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.},
author = {Grzegorz Dymek},
journal = {Annales UMCS, Mathematica},
keywords = {and phrases Pseudo-BCI-algebra; normal pseudo-BCI-algebra; extension of pseudo-BCI-algebra; pseudo-BCI-algebra},
language = {eng},
number = {1},
pages = {59-71},
title = {On pseudo-BCI-algebras},
url = {http://eudml.org/doc/270871},
volume = {69},
year = {2015},
}

TY - JOUR
AU - Grzegorz Dymek
TI - On pseudo-BCI-algebras
JO - Annales UMCS, Mathematica
PY - 2015
VL - 69
IS - 1
SP - 59
EP - 71
AB - The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.
LA - eng
KW - and phrases Pseudo-BCI-algebra; normal pseudo-BCI-algebra; extension of pseudo-BCI-algebra; pseudo-BCI-algebra
UR - http://eudml.org/doc/270871
ER -

References

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  1. [1] Dudek, W. A., Jun, Y. B., Pseudo-BCI algebras, East Asian Math. J. 24 (2008), 187-190. Zbl1149.06010
  2. [2] Dymek, G., Atoms and ideals of pseudo-BCI-algebras, Comment. Math. 52 (2012), 73-90. Zbl1294.06021
  3. [3] Dymek, G., p-semisimple pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 19 (2012), 461-474. 
  4. [4] Dymek, G., On compatible deductive systems of pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 22 (2014), 167-187. Zbl1319.06014
  5. [5] Dymek, G., Kozanecka-Dymek, A., Pseudo-BCI-logic, Bull. Sect. Logic Univ. Łódż 42 (2013), 33-42. Zbl1287.03058
  6. [6] Halaˇs, R., K¨uhr, J., Deductive systems and annihilators of pseudo-BCK-algebras, Ital. J. Pure Appl. Math. 25 (2009). 
  7. [7] Iorgulescu, A., Algebras of Logic as BCK Algebras, Editura ASE, Bucharest, 2008. Zbl1172.03038
  8. [8] Is´eki, K., An algebra related with a propositional calculus, Proc. Japan Acad. 42 (1966), 26-29. 
  9. [9] Jun, Y. B., Kim, H. S., Neggers, J., On pseudo-BCI ideals of pseudo BCI-algebras, Mat. Vesnik 58 (2006), 39-46. Zbl1119.03068

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