Characterizing the commutator in varieties with a difference term

Characterizing the commutator in varieties with a difference term

We extend the validity of Kiss’s characterization of “ [ α , β ] = 0 ” from congruence modular varieties to varieties with a difference term. This fixes a recently discovered gap in our paper Kearnes et al. (Trans Am Math Soc 368:2115–2143, 2016). We also prove some related properties of Kiss terms...

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Veröffentlicht in:Algebra universalis 2022-05, Vol.83 (2), Article Paper No. 17, 29
Hauptverfasser: Kearnes, Keith A., Szendrei, Ágnes, Willard, Ross
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Commutators
Mathematics
Mathematics and Statistics
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Zusammenfassung:We extend the validity of Kiss’s characterization of “ [ α , β ] = 0 ” from congruence modular varieties to varieties with a difference term. This fixes a recently discovered gap in our paper Kearnes et al. (Trans Am Math Soc 368:2115–2143, 2016). We also prove some related properties of Kiss terms in varieties with a difference term.
ISSN:0002-5240
1420-8911
DOI:10.1007/s00012-022-00772-7