| Title:
|
On ideals and congruences in BCC-algebras (English) |
| Author:
|
Dudek, Wiesław A. |
| Author:
|
Zhang, Xiaohong |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
21-29 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce a new concept of ideals in BCC-algebras and describe connections between such ideals and congruences. (English) |
| Keyword:
|
BCC-algebra |
| Keyword:
|
BCK-algebra |
| Keyword:
|
ideal |
| Keyword:
|
congruence |
| MSC:
|
03G25 |
| MSC:
|
06F35 |
| MSC:
|
08A30 |
| idZBL:
|
Zbl 0927.06013 |
| idMR:
|
MR1614060 |
| . |
| Date available:
|
2009-09-24T10:10:36Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127395 |
| . |
| Reference:
|
[1] W. A. Dudek: The number of subalgebras of finite BCC-algebras.Bull. Inst. Math. Academia Sinica 20 (1992), 129–136. Zbl 0770.06009, MR 1184464 |
| Reference:
|
[2] W. A. Dudek: On proper BCC-algebras.Bull. Inst. Math. Academia Sinica 20 (1992), 137–150. Zbl 0770.06010, MR 1184465 |
| Reference:
|
[3] W. A. Dudek: On constructions of BCC-algebras.Selected Papers on BCK-and BCI-algebras, 1 (1992), 93–96. |
| Reference:
|
[4] K. Iséki and S. Tanaka: Ideal theory of BCK-algebras.Math. Japonica 21 (1976), 351–366. MR 0441816 |
| Reference:
|
[5] K. Iséki and S. Tanaka: An introduction to the theory of BCK-algebras.Math. Japonica 23 (1978), 1–26. MR 0500283 |
| Reference:
|
[6] Y. Komori: The variety generated by BCC-algebras is finitely based.Reports Fac. Sci. Shizuoka Univ. 17 (1983), 13–16. Zbl 0516.08006, MR 0702484 |
| Reference:
|
[7] Y. Komori: The class of BCC-algebras is not a variety.Math. Japonica 29 (1984), 391–394. Zbl 0553.03046, MR 0752236 |
| Reference:
|
[8] A. Wroński: BCK-algebras do not form a variety.Math. Japonica 28 (1983), 211–213. MR 0699585 |
| . |
