On ideals and congruences in BCC-algebras

Wiesław Aleksander Dudek; Xiaohong Zhang

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 1, page 21-29
  • ISSN: 0011-4642

Abstract

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We introduce a new concept of ideals in BCC-algebras and describe connections between such ideals and congruences.

How to cite

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Dudek, Wiesław Aleksander, and Zhang, Xiaohong. "On ideals and congruences in BCC-algebras." Czechoslovak Mathematical Journal 48.1 (1998): 21-29. <http://eudml.org/doc/30398>.

@article{Dudek1998,
abstract = {We introduce a new concept of ideals in BCC-algebras and describe connections between such ideals and congruences.},
author = {Dudek, Wiesław Aleksander, Zhang, Xiaohong},
journal = {Czechoslovak Mathematical Journal},
keywords = {BCC-algebra; BCK-algebra; ideal; congruence; BCC-algebra; BCK-algebra; congruence; BCC-ideal},
language = {eng},
number = {1},
pages = {21-29},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On ideals and congruences in BCC-algebras},
url = {http://eudml.org/doc/30398},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Dudek, Wiesław Aleksander
AU - Zhang, Xiaohong
TI - On ideals and congruences in BCC-algebras
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 1
SP - 21
EP - 29
AB - We introduce a new concept of ideals in BCC-algebras and describe connections between such ideals and congruences.
LA - eng
KW - BCC-algebra; BCK-algebra; ideal; congruence; BCC-algebra; BCK-algebra; congruence; BCC-ideal
UR - http://eudml.org/doc/30398
ER -

References

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  1. The number of subalgebras of finite BCC-algebras, Bull. Inst. Math. Academia Sinica 20 (1992), 129–136. (1992) Zbl0770.06009MR1184464
  2. On proper BCC-algebras, Bull. Inst. Math. Academia Sinica 20 (1992), 137–150. (1992) Zbl0770.06010MR1184465
  3. On constructions of BCC-algebras, Selected Papers on BCK-and BCI-algebras, 1 (1992), 93–96. (1992) 
  4. Ideal theory of BCK-algebras, Math. Japonica 21 (1976), 351–366. (1976) MR0441816
  5. An introduction to the theory of BCK-algebras, Math. Japonica 23 (1978), 1–26. (1978) MR0500283
  6. The variety generated by BCC-algebras is finitely based, Reports Fac. Sci. Shizuoka Univ. 17 (1983), 13–16. (1983) Zbl0516.08006MR0702484
  7. The class of BCC-algebras is not a variety, Math. Japonica 29 (1984), 391–394. (1984) Zbl0553.03046MR0752236
  8. BCK-algebras do not form a variety, Math. Japonica 28 (1983), 211–213. (1983) MR0699585

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