Almost associative operations generating a minimal clone
Discussiones Mathematicae. General Algebra and Applications, Tome 26 (2006) no. 1, pp. 45-73
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Characterizations of 'almost associative' binary operations generating a minimal clone are given for two interpretations of the term 'almost associative'. One of them uses the associative spectrum, the other one uses the index of nonassociativity to measure how far an operation is from being associative.
Keywords:
clone, minimal clone, groupoid, associativity
@article{DMGAA_2006_26_1_a2,
author = {Waldhauser, Tam\'as},
title = {Almost associative operations generating a minimal clone},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {45--73},
publisher = {mathdoc},
volume = {26},
number = {1},
year = {2006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2006_26_1_a2/}
}
TY - JOUR AU - Waldhauser, Tamás TI - Almost associative operations generating a minimal clone JO - Discussiones Mathematicae. General Algebra and Applications PY - 2006 SP - 45 EP - 73 VL - 26 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGAA_2006_26_1_a2/ LA - en ID - DMGAA_2006_26_1_a2 ER -
Waldhauser, Tamás. Almost associative operations generating a minimal clone. Discussiones Mathematicae. General Algebra and Applications, Tome 26 (2006) no. 1, pp. 45-73. http://geodesic.mathdoc.fr/item/DMGAA_2006_26_1_a2/