All Outputs (2)

The largest subsemilattices of the endomorphism monoid of an independence algebra (2014)
Journal Article
Araújo, J., Bentz, W., & Konieczny, J. (2014). The largest subsemilattices of the endomorphism monoid of an independence algebra. Linear algebra and its applications, 458, 60-79. https://doi.org/10.1016/j.laa.2014.05.041

An algebra A is said to be an independence algebra if it is a matroid algebra and every map α:X→A, defined on a basis X of A, can be extended to an endomorphism of A. These algebras are particularly well-behaved generalizations of vector spaces, and... Read More about The largest subsemilattices of the endomorphism monoid of an independence algebra.

Taylor's modularity conjecture holds for linear idempotent varieties (2014)
Journal Article
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

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... Read More about Taylor's modularity conjecture holds for linear idempotent varieties.