2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169716Discrete and q-difference deformations of the structure constants for a class of associative noncommutative algebras are studied. It is shown that these deformations are governed by a central system of discrete or q-difference equations which in particular cases represent discrete and q-difference versions of the oriented associativity equation. It is demonstrated also that the celebrated Hirota-Miwa bilinear equation for the AKP and BKP hierarchies describes discrete deformations of certain finite-dimensional algebras.Talk given at the workshop SIDE8, June 22-28, 2008, Sainte-Adele, CanadaExactly Solvable and Integrable SystemsRings and Algebrastext