N.G. Abdujabborov ; I.A. Karimjanov ; M.A. Kodirova
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Rota-type operators on 3-dimensional nilpotent associative algebras
cm:9539 -
Communications in Mathematics,
July 15, 2021,
Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga)
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https://doi.org/10.2478/cm-2021-0020
Rota-type operators on 3-dimensional nilpotent associative algebrasArticle
Authors: N.G. Abdujabborov ; I.A. Karimjanov ; M.A. Kodirova
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N.G. Abdujabborov;I.A. Karimjanov;M.A. Kodirova
We give the description of Rota–Baxter operators, Reynolds operators, Nijenhuis operators and average operators on 3-dimensional nilpotent associative algebras over ℂ.
AHMED ZAHARI ABDOU;BOUZID MOSBAHI, 2024, CLASSIFICATION OF COMPATIBLE ASSOCIATIVE ALGEBRAS AND SOME INVARIANTS, 10.2139/ssrn.4877916.
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Tianjie Zhang;Xing Gao;Li Guo, 2023, Construction of free commutative Reynolds algebras by Gröbner-Shirshov bases, Journal of Symbolic Computation, 119, pp. 64-80, 10.1016/j.jsc.2023.02.008.