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arXiv · 2412.05295

Classification of four-dimensional anti-dendriform algebras whose associated associative algebra has the center of dimension one

Jobir Adashev·Artem Lopatin·Zafar Normatov·Shokhsanam Solijonova
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Abstract

This article is devoted to the classification of anti-dendriform algebras that are associated with associativity. They are characterized as algebras with two operations whose sum is associative. In the paper all four-dimensional complex anti-dendriform algebras associated to four-dimensional associative algebras with one-dimensional center are classified

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Jobir Adashev, Artem Lopatin, Zafar Normatov, Shokhsanam Solijonova. 2024-11-24. Classification of four-dimensional anti-dendriform algebras whose associated associative algebra has the center of dimension one. https://arxiv.org/abs/2412.05295

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