DIFFERENTIAL MODES
A. V. Kravchenko, Agata Pilitowska, Anna B. Romanowska, David Stanovský · International Journal of Algebra and Computation · 2008
Modes are idempotent and entropic algebras. Although it had been established many years ago that groupoid modes embed as subreducts of semimodules over commutative semirings, the general embeddability question remained open until Stronkowski and Stanovský's recent constructions of isolated examples of modes without such an embedding. The current paper now presents a broad class of modes that are not embeddable into semimodules, including structural investigations and an analysis of the lattice of varieties.