| Title:
|
Tolerance numbers, congruence $n$-permutability and BCK-algebras (English) |
| Author:
|
Raftery, J. G. |
| Author:
|
Sturm, T. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
42 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
727-740 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F35 |
| MSC:
|
08A02 |
| MSC:
|
08A30 |
| MSC:
|
08B05 |
| idZBL:
|
Zbl 0784.08002 |
| idMR:
|
MR1182203 |
| DOI:
|
10.21136/CMJ.1992.128368 |
| . |
| Date available:
|
2009-09-24T09:26:08Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128368 |
| . |
| Reference:
|
[1] H-J. Bandelt: Tolerance relations on lattices.Bull. Austral. Math. Soc. 23 (1981), 367–381. Zbl 0449.06005, MR 0625179, 10.1017/S0004972700007255 |
| Reference:
|
[2] S. Burris and H.P. Sankappanavar: “A Course in Universal Algebra”, Graduate Texts in Mathematics.vol. 78, Springer-Verlag, New York, 1981. MR 0648287 |
| Reference:
|
[3] I. Chajda: Distributivity and modularity of lattices of tolerance relations.Algebra Universalis 12 (1981), 247–255. Zbl 0469.08003, MR 0608668, 10.1007/BF02483883 |
| Reference:
|
[4] I. Chajda: Tolerance trivial algebras and varieties.Acta Sci. Math (Szeged) 46 (1983), 35–40. Zbl 0534.08001, MR 0739020 |
| Reference:
|
[5] I. Chajda: Tolerances in congruence permutable algebras.Czechoslovak Math. J. 38 (1988), 218–225. Zbl 0678.08004, MR 0946289 |
| Reference:
|
[6] I. Chajda and J. Rachounek: Relational characterizations of permutable and $n$-permutable varieties.Czechoslovak Math. J. 33 (1983), 505–508. MR 0721079 |
| Reference:
|
[7] W.H. Cornish: On Iséki’s BCK-algebras.Lecture Notes in Pure and Applied Mathematics 74 (1982), Marcel Dekker, New York, 101–122. Zbl 0486.03033, MR 0647169 |
| Reference:
|
[8] J. Hagemann and A. Mitschke: On $n$-permutable congruences.Algebra Universalis 3 (1973), 8–12. MR 0330010, 10.1007/BF02945100 |
| Reference:
|
[9] P. M. Idziak: On varieties of BCK-algebras.Mathematica Japonica 28 (1983), 157–162. Zbl 0518.06015, MR 0692565 |
| Reference:
|
[10] K. Iséki: On ideals of BCK-algebras.Math. Seminar Notes Kobe Univ. 3 (1975), 1–12. |
| Reference:
|
[11] K. Iséki and S. Tanaka: An introduction to the theory of BCK-algebras.Mathematica Japonica 23 (1978), 1–26. MR 0500283 |
| Reference:
|
[12] J.G. Raftery, I.G. Rosenberg and T. Sturm: Tolerance relations and BCK-algebras.Mathematica Japonica 36 (1991), 399–410. MR 1109222 |
| Reference:
|
[13] J.G. Raftery and T. Sturm: On ideal and congruence lattices of BCK-semilattices.Mathematica Japonica 32 (1987), 465–474. MR 0914750 |
| Reference:
|
[14] I.G. Rosenberg and D. Schweigert: Compatible orderings and tolerances on lattices.Annals of Discrete Mathematics 23 (1984), 119–150. MR 0779849 |
| Reference:
|
[15] H. Werner: A Mal’cev condition for admissible relations.Algebra Universalis 3 (1973), 263. Zbl 0276.08004, MR 0330009, 10.1007/BF02945126 |
| Reference:
|
[16] A. Wroński: BCK-algebras do not form a variety.Mathematica Japonica 28 (1983), 211–213. |
| Reference:
|
[17] A. Wroński: Reflections and distensions of BCK-algebras.Mathematica Japonica 28 (1983), 215–225. MR 0699586 |
| Reference:
|
[18] A. Wroński and J.K. Kabziński: There is no largest variety of BCK-algebras.Mathematica Japonica 29 (1984), 545–549. MR 0759445 |
| . |
