67 citations · 246 across the 43 of their papers we have counts for
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Rota-Baxter operators of nonzero weight on the matrix algebra of order three
Maxim Goncharov, Vsevolod Gubarev
We classify all Rota-Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which are not arisen from the…
Monomial Rota-Baxter operators on free commutative non-unital algebra
Vsevolod Gubarev
A Rota-Baxter operator defined on the polynomial algebra is called monomial if it maps each monomial to a monomial with some coefficient. We classify monomial Rota-Baxter operators…
In memory of Igor Dmitrievich Ado
Dietrich Burde, Vsevolod Gubarev
We give a translation from Russian into English of the article "In memory of Igor Dmitrievich Ado" written by A.V. Dorodnov and I.I. Sakhaev and published in Izv.\ Vyssh.\ Uchebn.\…
Decompositions of algebras and post-associative algebra structures
Dietrich Burde, Vsevolod Gubarev
We introduce post-associative algebra structures and study their relationship to post-Lie algebra structures, Rota--Baxter operators and decompositions of associative algebras and…
Poincare-Birkhoff-Witt theorem for pre-Lie and postLie algebras
Vsevolod Gubarev
We construct the universal enveloping preassociative and postassociative algebra for a pre-Lie and a postLie algebra respectively. We show that the pairs $(\mathrm{preLie},\mathrm{…