| Title:
|
Some remarks on distributive groupoids (English) |
| Author:
|
Dudek, Józef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1981 |
| Pages:
|
451-456 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
20L05 |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 0472.20025 |
| idMR:
|
MR626918 |
| DOI:
|
10.21136/CMJ.1981.101759 |
| . |
| Date available:
|
2008-06-09T14:45:06Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101759 |
| . |
| Reference:
|
[1] W. Belousov: Introduction in the theory of quasigroups and loops.Moscow (1967), (in Russian). |
| Reference:
|
[2] J. Dudek: The number of algebraic operations in an idempotent groupoid.Cooloq. Math. 21. (1970), 169-177. MR 0263959, 10.4064/cm-21-2-169-177 |
| Reference:
|
[3] J. Dudek: Medial groupoids and Mersenne numbers.to appear in Fund. Math. Zbl 0478.08012, MR 0643550 |
| Reference:
|
[4] T. Evans: Products of points - some simple algebras and their identities.Amer. Math. Monthly Vol. 74, no 4. April, 1967. Zbl 0207.32901, MR 0209382 |
| Reference:
|
[5] G. Gratzer: Universal Algebra.D. von Norstrand Company, 1968. MR 0248066 |
| Reference:
|
[6] J. Ježek, T. Kepka: The lattice of varieties of commutative abelian distributive groupoids.Algebra Univ. 5 (1975) 225-237. MR 0398952 |
| Reference:
|
[7] N. Kimura, M. Yamada: Note on idempotent semigroups II.Proc. of Jap. Acad., 34 (1958), 110-112. Zbl 0081.25501, MR 0098141, 10.3792/pja/1195524790 |
| Reference:
|
[8] A. Kisielewicz: The number of algebraic operations in idempotent algebras.to appear in Algebra Univ. |
| Reference:
|
[9] E. Marczewski: Independence and homomorphisms in abstract algebras.Fund. Math. 50 (1961), 45-61. Zbl 0104.25501, MR 0138572, 10.4064/fm-50-1-45-61 |
| Reference:
|
[10] A. Mitsche, H. Werner: On groupoids representable by linear spaces over finite fields.Arch. Math. Vol. 24 (1973), 14-20. MR 0316601, 10.1007/BF01228164 |
| Reference:
|
[11] J. Plonka: Diagonal algebras.Fund. Math. 50 (1966), 309-321. Zbl 0166.27501, MR 0194378, 10.4064/fm-58-3-309-322 |
| Reference:
|
[12] J. Plonka: On algebras with n district essentially n-ary operations.Algebra Univ. (1971), 73-74. MR 0286928 |
| Reference:
|
[13] J. Plonka: On functionally uniform symmetrical algebras.Colloq. Math. 15 (1966), 181 to 187. Zbl 0146.25102, MR 0205904, 10.4064/cm-15-2-181-188 |
| Reference:
|
[14] J. Soublin: Etude algébrique de la notion de moyenne.J. Math. Pures et App. 50 (1977), 53-264. |
| . |
