# On a periodic part of pseudo-BCI-algebras

Discussiones Mathematicae - General Algebra and Applications (2015)

- Volume: 35, Issue: 2, page 139-157
- ISSN: 1509-9415

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topGrzegorz Dymek. "On a periodic part of pseudo-BCI-algebras." Discussiones Mathematicae - General Algebra and Applications 35.2 (2015): 139-157. <http://eudml.org/doc/276705>.

@article{GrzegorzDymek2015,

abstract = {In the paper the connections between the set of some maximal elements of a pseudo-BCI-algebra and deductive systems are established. Using these facts, a periodic part of a pseudo-BCI-algebra is studied.},

author = {Grzegorz Dymek},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {pseudo-BCI-algebra; deductive system; periodic part; normal pseudo-BCI-algebra; extension of pseudo-BCI-algebra},

language = {eng},

number = {2},

pages = {139-157},

title = {On a periodic part of pseudo-BCI-algebras},

url = {http://eudml.org/doc/276705},

volume = {35},

year = {2015},

}

TY - JOUR

AU - Grzegorz Dymek

TI - On a periodic part of pseudo-BCI-algebras

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2015

VL - 35

IS - 2

SP - 139

EP - 157

AB - In the paper the connections between the set of some maximal elements of a pseudo-BCI-algebra and deductive systems are established. Using these facts, a periodic part of a pseudo-BCI-algebra is studied.

LA - eng

KW - pseudo-BCI-algebra; deductive system; periodic part; normal pseudo-BCI-algebra; extension of pseudo-BCI-algebra

UR - http://eudml.org/doc/276705

ER -

## References

top- [1] W.A. Dudek and Y.B. Jun, Pseudo-BCI algebras, East Asian Math. J. 24 (2008), 187-190. Zbl1149.06010
- [2] G. Dymek, Atoms and ideals of pseudo-BCI-algebras, Comment. Math. 52 (2012), 73-90. Zbl1294.06021
- [3] G. Dymek, On compatible deductive systems of pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 22 (2014), 167-187. Zbl1319.06014
- [4] G. Dymek, On a period of an element of pseudo-BCI-algebras, Discuss. Math. Gen. Algebra Appl., to appear..
- [5] G. Dymek, On pseudo-BCI-algebras, Ann. Univ. Mariae Curie-Skłodowska Sect. A, to appear..
- [6] G. Dymek, p-semisimple pseudo-BCI-algebras, J. Mult.-Valued Logic Soft Comput. 19 (2012), 461-474.
- [7] A. Iorgulescu, Algebras of logic as BCK algebras, Editura ASE,Bucharest, 2008..
- [8] K. Iséki, An algebra related with a propositional calculus, Proc. Japan Acad. 42 (1966), 26-29. doi: 10.3792/pja/1195522171 Zbl0207.29304
- [9] Y.B. Jun, H.S. Kim and J. Neggers, On pseudo-BCI ideals of pseudo BCI-algebras, Mat. Vesnik 58 (2006), 39-46. Zbl1119.03068

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