V. Gubarev

activity

20092026

most citedOn embedding of dendriform algebras into Rota---Baxter algebras

67 citations · 246 across the 43 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.RA2020★ 6 cited

Unital decompositions of the matrix algebra of order three

Vsevolod Gubarev

We classify all decompositions of $M_{3} (C)$ into a direct vector-space sum of two subalgebras such that one of the subalgebras contains the identity matrix.

math.RA2020★ 6 cited

Spectrum of Rota-Baxter operators

Vsevolod Gubarev

We prove that the spectrum of every Rota-Baxter operator of weight $λ$ on a unital algebraic (not necessarily associative) algebra over a field of characteristic zero is a subset o…

math.RA2020★ 1 cited

Injective Rota-Baxter operators of weight zero on $F [x]$

Vsevolod Gubarev, Alexander Perepechko

Rota-Baxter operators present a natural generalisation of integration by parts formula for the integral operator. In 2015, Zheng, Guo, and Rosenkranz conjectured that every injecti…

Unital decompositions of the matrix algebra of order three

Spectrum of Rota-Baxter operators

Injective Rota-Baxter operators of weight zero on F[x]

Injective Rota-Baxter operators of weight zero on $F [x]$