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On Algebras with many symmetric operations

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On Algebras with many symmetric operations. / Carvalho, Catarina; Krokhin, Andrei.

In: International Journal of Algebra and Computation, Vol. 26, No. 5, 01.08.2016.

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@article{f979e6d738254ce8a9ab4af6a2688fa1,
title = "On Algebras with many symmetric operations",
abstract = "We show that, for each finite algebra A, either it has symmetric term operations of all arities or else some finite algebra in the variety generated by A has two automorphisms without a common fixed point. We also show this two-automorphism condition cannot be replaced by a single fixed-point- free automorphism.",
keywords = "math.RA",
author = "Catarina Carvalho and Andrei Krokhin",
note = "Electronic version of an article published as International Journal of Algebra and Computation, Vol. 26 (5), 2016, https://doi.org/10.1142/S0218196716500429. {\textcopyright} 2016 copyright World Scientific Publishing Company, http://www.worldscientific.com/.",
year = "2016",
month = aug,
day = "1",
doi = "10.1142/S0218196716500429",
language = "English",
volume = "26",
journal = "International Journal of Algebra and Computation",
issn = "0218-1967",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "5",

}

RIS

TY - JOUR

T1 - On Algebras with many symmetric operations

AU - Carvalho, Catarina

AU - Krokhin, Andrei

N1 - Electronic version of an article published as International Journal of Algebra and Computation, Vol. 26 (5), 2016, https://doi.org/10.1142/S0218196716500429. © 2016 copyright World Scientific Publishing Company, http://www.worldscientific.com/.

PY - 2016/8/1

Y1 - 2016/8/1

N2 - We show that, for each finite algebra A, either it has symmetric term operations of all arities or else some finite algebra in the variety generated by A has two automorphisms without a common fixed point. We also show this two-automorphism condition cannot be replaced by a single fixed-point- free automorphism.

AB - We show that, for each finite algebra A, either it has symmetric term operations of all arities or else some finite algebra in the variety generated by A has two automorphisms without a common fixed point. We also show this two-automorphism condition cannot be replaced by a single fixed-point- free automorphism.

KW - math.RA

U2 - 10.1142/S0218196716500429

DO - 10.1142/S0218196716500429

M3 - Article

VL - 26

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

SN - 0218-1967

IS - 5

ER -