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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