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Rota-Baxter operators of zero weight on simple Jordan algebra of Clifford type
Vsevolod Gubarev
It is proved that any Rota---Baxter operator of zero weight on Jordan algebra of a nondegenerate bilinear symmetric form is nilpotent of index less or equal three. We state exact v…
Universal enveloping commutative Rota-Baxter algebras of precommutative and postcommutative algebras
Vsevolod Gubarev
Universal enveloping commutative Rota-Baxter algebras of pre- and postcommutative algebras are constructed. We prove that the pair of varieties (commutative Rota-Baxter algebras of…
Universal enveloping Lie Rota-Baxter algebra of preLie and post-Lie algebras
Vsevolod Gubarev
Universal enveloping Lie Rota-Baxter algebras of pre-Lie and post-Lie algebras are constructed. It is proved that the pairs of varieties (Lie Rota-Baxter algebras of zero weight,pr…
Universal enveloping Rota-Baxter algebras of preassociative and postassociative algebras
Vsevolod Gubarev
Universal enveloping Rota-Baxter algebras of preassociative and postassociative algebras are constructed. The question of Li Guo is answered: the pair of varieties (Rota-Baxter alg…