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20092026
most citedOn embedding of dendriform algebras into Rota---Baxter algebras

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

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3 papers · 1 filter

math.RA2023★ 1 cited

Burde's series of simple pre-Lie algebras

Vsevolod Gubarev

We describe automorphisms, derivations, and Rota -- Baxter operators on the series of simple pre-Lie algebras found by D. Burde in 1998.

math.RA2023★ 4 cited

Nonunital decompositions of the matrix algebra of order three

Vsevolod Gubarev

All decompositions of into a direct vector-space sum of two subalgebras such that none of the subalgebras contains the identity matrix are classified. Thus, the c…

math.RA2023

Generalized sharped cubic form and split spin factor algebra

Vsevolod Gubarev, Farukh Mashurov, Alexander Panasenko

There is a well-known construction of a Jordan algebra via a sharped cubic form. We introduce a generalized sharped cubic form and prove that the split spin factor algebra is induc…