2 papers
math.RA2026
Boolean Trusses as Rectangular Bands and Boolean Rings
Ryszard R. Andruszkiewicz, Bernard Rybołowicz
We introduce Boolean trusses, that is, trusses in which every element is idempotent. Every Boolean truss admits a decomposition into a truss arising from a Boolean ring and a recta…
math.RA2024
Lie affgebras vis-à-vis Lie algebras
Ryszard R. Andruszkiewicz, Tomasz Brzeziński, Krzysztof Radziszewski
It is shown that any Lie affgebra, that is an algebraic system consisting of an affine space together with a bi-affine bracket satisfying affine versions of the antisymmetry and Ja…