Varieties of idempotent groupoids with small clones

J. Gałuszka

Colloquium Mathematicae (1999)

  • Volume: 81, Issue: 1, page 63-87
  • ISSN: 0010-1354

Abstract

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We give an equational description of all idempotent groupoids with at most three essentially n-ary term operations.

How to cite

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Gałuszka, J.. "Varieties of idempotent groupoids with small clones." Colloquium Mathematicae 81.1 (1999): 63-87. <http://eudml.org/doc/210731>.

@article{Gałuszka1999,
abstract = {We give an equational description of all idempotent groupoids with at most three essentially n-ary term operations.},
author = {Gałuszka, J.},
journal = {Colloquium Mathematicae},
keywords = {-ary term operations; varieties of Steiner quasigroups; varieties of near-semilattices; idempotent groupoids},
language = {eng},
number = {1},
pages = {63-87},
title = {Varieties of idempotent groupoids with small clones},
url = {http://eudml.org/doc/210731},
volume = {81},
year = {1999},
}

TY - JOUR
AU - Gałuszka, J.
TI - Varieties of idempotent groupoids with small clones
JO - Colloquium Mathematicae
PY - 1999
VL - 81
IS - 1
SP - 63
EP - 87
AB - We give an equational description of all idempotent groupoids with at most three essentially n-ary term operations.
LA - eng
KW - -ary term operations; varieties of Steiner quasigroups; varieties of near-semilattices; idempotent groupoids
UR - http://eudml.org/doc/210731
ER -

References

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  14. [14] G. Grätzer and A. Kisielewicz, A survey of some open problems on p n -sequences and free spectra of algebras and varieties, in: Universal Algebra and Quasigroup Theory, A. Romanowska and J. D. H. Smith (eds.), Heldermann, Berlin, 1992, 57-88. Zbl0772.08001
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  16. [16] A. Kisielewicz, On idempotent algebra with p n = 2 n , Algebra Universalis 23 (1981), 313-323. Zbl0621.08002
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  22. [22] W. Sierpiński, Sur les fonctions de plusieurs variables, ibid. 33 (1945), 169-173. Zbl0060.13111

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