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Taylor's modularity conjecture holds for linear idempotent varieties

Bentz, Wolfram; Sequeira, Luís

Authors

Wolfram Bentz

Luís Sequeira



Abstract

The “Modularity Conjecture” is the assertion that the join of two nonmodular varieties in the lattice of interpretability types is nonmodular. We establish the veracity of this conjecture for the case of linear idempotent varieties. We also establish analogous results concerning n-permutability for some n, and the satisfaction of nontrivial congruence identities.

Citation

Bentz, W., & Sequeira, L. (2014). Taylor's modularity conjecture holds for linear idempotent varieties. Algebra universalis, 71(2), 101-107. https://doi.org/10.1007/s00012-014-0273-4

Journal Article Type Article
Acceptance Date Mar 11, 2013
Online Publication Date Feb 5, 2014
Publication Date 2014-04
Deposit Date Jun 29, 2018
Journal Algebra universalis
Print ISSN 0002-5240
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 71
Issue 2
Pages 101-107
DOI https://doi.org/10.1007/s00012-014-0273-4
Public URL https://hull-repository.worktribe.com/output/901258
Publisher URL https://link.springer.com/article/10.1007%2Fs00012-014-0273-4
Contract Date Jun 29, 2018