3 papers
math.RA2026
Affinization of algebraic structures: Poisson algebras
Tomasz BrzeziÅski, Krzysztof Radziszewski, Brais Ramos Pérez
An affinization of the notion of a Poisson algebra is presented. This is termed a Poisson affgebra and consists of an affine space together with an associative bi-affine multiplica…
math.RA2026
Ore meets homothetic extensions
Tomasz BrzeziÅski, A. T. M. West
Sufficient and necessary conditions for an extension of a skew-derivation of an associative -algebra to a skew derivation on an extensio…
math.RA2025
Affinization of algebraic structures: Leibniz algebras
Tomasz BrzeziÅski, Krzysztof Radziszewski, Brais Ramos Pérez
A general procedure of affinization of linear algebra structures is illustrated by the case of Leibniz algebras. Specifically, the definition of an affine Leibniz bracket, that is,…