| Title:
|
Medial idempotent groupoids. I (English) |
| Author:
|
Dudek, Józef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
41 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
249-259 |
| . |
| Category:
|
math |
| . |
| MSC:
|
20N02 |
| idZBL:
|
Zbl 0738.20061 |
| idMR:
|
MR1105439 |
| DOI:
|
10.21136/CMJ.1991.102456 |
| . |
| Date available:
|
2008-06-09T15:38:35Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102456 |
| . |
| Reference:
|
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| Reference:
|
[2] B. Csákány: Varieties of affine modules.Acta Sci. Math. 37 (1979), 3-10. MR 0404101 |
| Reference:
|
[3] J. Dudek: A new characterization of groupoids with at most $n$ essentially $n$-агу polynomials.Bull. Soc. Roy. Sci. Liege 48 (1980), 390-392. MR 0614329 |
| Reference:
|
[4] J. Dudek: Some remarks on distributive groupoids.Czechoslovak Math. J. 31 (1981), 58-64. Zbl 0472.20025, MR 0626918 |
| Reference:
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| Reference:
|
[6] J. Dudek: Varieties of idempotent commutative groupoids.Fund. Math. 120 (1984), 193-204. Zbl 0546.20049, MR 0755776, 10.4064/fm-120-3-193-204 |
| Reference:
|
[7] J. Dudek: A polynomial characterization of some idempotent algebras.Acta Sci. Math. 50 (1986), 39-49. MR 0862179 |
| Reference:
|
[8] J. Dudek: On the minimal extension of sequences.Algebra Universalis, 23 (1986), 308-312. Zbl 0627.08001, MR 0903935, 10.1007/BF01230623 |
| Reference:
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[9] J. Dudek: Polynomials in idempotent commutative groupoids.to appear in Dissertationes Mathematicae, 286. Zbl 0687.08003, MR 1001646 |
| Reference:
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[10] B. Ganter, H. Werner: Equational classes of Steiner systems.Algebra Universalis, 5 (1975), 125-140. Zbl 0327.08007, MR 0404103, 10.1007/BF02485242 |
| Reference:
|
[11] G. Grätzer: Composition of functions.Proc. Conf. on Universal Algebra, Queen's University (Kingston, Ont. 1970), 1-106. MR 0276161 |
| Reference:
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[12] G. Grätzer: Universal Algebra.Van Nostrand, Princeton, 2nd ed., 1979. MR 0281674 |
| Reference:
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[13] G. Grätzer, R. Padmanabhan: On idempotent commutative nonassociative groupoids.Proc. Amer. Math. Soc. 28 (1971), 75-80. MR 0276393, 10.2307/2037760 |
| Reference:
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[14] J. Ježek, T. Kepka: The lattice of varieties of commutative abelian distributive groupoids.Algebra Universalis 5 (1975), 225-237. MR 0398952, 10.1007/BF02485256 |
| Reference:
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[15] F. Ostermann, J. Schmidt: Der baryzentrische Kalkül als axiomatische Grundlage der affinen Geometrie.J. reine angew. Math. 224 (1966), 44-57. Zbl 0146.16202, MR 0206783, 10.1515/crll.1966.224.44 |
| Reference:
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[16] J. Plonka: Diagonal algebras.Fund. Math. 58 (1966), 309-321. Zbl 0166.27501, MR 0194378, 10.4064/fm-58-3-309-322 |
| Reference:
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[17] J. Plonka: On equational classes of abstract algebras defined by regular equations.Fund. Math. 64 (1964), 241-247. MR 0244133, 10.4064/fm-64-2-241-247 |
| Reference:
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[18] J. Plonka: On the arity of idempotent reducts of groups.Colloq. Math. 21 (1970), 35-37. Zbl 0221.08013, MR 0253968, 10.4064/cm-21-1-35-37 |
| Reference:
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[19] J. Plonka: On algebras with $n$ distinct $n$-агу operations.Algebra Universalis 1 (1971), 73-79. MR 0286928, 10.1007/BF02944958 |
| Reference:
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[20] J. Plonka: Subdirectly irreducible groupoids in some vatieties.SMUC 24 (1983), 631-645. MR 0738559 |
| Reference:
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| Reference:
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| . |
