Showing 2012Show all
2 papers · 1 filter
math.RA2012
The modularity conjecture holds for linear idempotent varieties
Wolfram Bentz, Luis Sequeira
The "Modularity Conjecture" is the assertion that the join of two nonmodular varieties is nonmodular. We establish the veracity of this conjecture for the case of linear idempotent…
math.RA2012
Dualizability of automatic algebras
Wolfram Bentz, Brian A. Davey, Jane G. Pitkethly +1
We make a start on one of George McNulty's Dozen Easy Problems: "Which finite automatic algebras are dualizable?" We give some necessary and some sufficient conditions for dualizab…