Taylor's modularity conjecture holds for linear idempotent varieties

Bentz, Wolfram; Sequeira, Luís

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
• Electronic ISSN: 1420-8911
• 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