Classifies Rota-Baxter operators on truncated polynomial algebras as maps satisfying P squared equals zero or inducing idempotent endomorphisms on the maximal ideal, with each family corresponding to the variety of idempotent matrices.
Gubarev, Rota–Baxter operators on quadratic algebras,Algebra Logic57(2018), 283– 306
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Rota Baxter Operators on Truncated Polynomial Algebras
Classifies Rota-Baxter operators on truncated polynomial algebras as maps satisfying P squared equals zero or inducing idempotent endomorphisms on the maximal ideal, with each family corresponding to the variety of idempotent matrices.