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Identities on Two-Dimensional Algebras

H. AhmedDepartment of Mathematics, Faculty of Science, Taiz University, Taiz, YemenUral BekbaevDepartment of Mathematical and Natural Sciences, Turin Polytechnic University in Tashkent (TTPU), Tashkent, UzbekistanI. S. RakhimovDepartment of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM), Shah Alam, Malaysia
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Аннотация

In the paper we provide some polynomial identities for finite-dimensional algebras. A list of well known single polynomial identities is exposed and the classification of all two-dimensional algebras with respect to these identities is given.

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