# On pseudo-BCI-algebras

Annales UMCS, Mathematica (2015)

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

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topGrzegorz 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

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