Rota-type operators on 3-dimensional nilpotent associative algebras

Abdujabborov, N.G. ; Kodirova, I.A. Karimjanov and M.A.

Communications in Mathematics, Tome 29 (2021) no. 2, pp. 227-241

Abstract (VO)

We give the description of Rota–Baxter operators, Reynolds operators, Nijenhuis operators and average operators on 3-dimensional nilpotent associative algebras over $\mathbb {C}$.

Détail

Classification : 16S50, 16W20
Keywords: Rota-Baxter operator; Reynolds operator; Nijenhuis operator; average operator; nilpotent; associative algebras

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