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 of weight zero on the matrix algebra of order three without unit in kernel, J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.