One-Generated Nilpotent Bicommutative Algebras-Reference-Cited by-同舟云学术

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One-Generated Nilpotent Bicommutative Algebras

Published:2022-07-26 Issue:03 Volume:29 Page:453-474
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Kaygorodov Ivan¹²,Páez-Guillán Pilar³⁴,Voronin Vasily⁵

Affiliation:

1. Centro de Matemática e Aplicações, Universidade da Beira Interior, Covilhã, Portugal

2. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

3. University of Santiago de Compostela, Santiago de Compostela, Spain

4. University of Vienna, Vienna, Austria

5. Novosibirsk State University, Novosibirsk, Russia

Abstract

We give a classification of 5- and 6-dimensional complex one-generated nilpotent bicommutative algebras.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386722000359

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nilpotency, solvability and Frattini theory for bicommutative, assosymmetric and Novikov algebras;Communications in Algebra;2024-09-05

2. Free bicommutative superalgebras;Journal of Algebra;2024-08

3. The Algebraic Classification of Nilpotent Bicommutative Algebras;Mathematics;2023-02-03

4. Invariant Theory of Free Bicommutative Algebras;Springer Proceedings in Mathematics & Statistics;2023

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