Identities on Two-Dimensional Algebras

被引：2

作者：

Ahmed, H. ^{[1
]}

Bekbaev, U. ^{[2
]}

Rakhimov, I. ^{[3
,4
]}

机构：

[1] Taiz Univ, Fac Sci, Dept Math, Taizi, Yemen

[2] Turin Polytech Univ Tashkent TTPU, Dept Math & Nat Sci, Tashkent, Uzbekistan

[3] Univ Teknol MARA UiTM, Fac Comp & Math Sci, Dept Math, Shah Alam, Malaysia

[4] Uzbek Acad Sci, VI Romanovski Inst Math, Tashkent, Uzbekistan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2020年 / 41卷 / 09期

关键词：

algebra; polynomial identity; structure constants;

D O I：

10.1134/S1995080220090024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1615 / 1629

页数：15

共 13 条

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Ahmed, H. ;

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Ahmed, Houida ;

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13TH IMT-GT INTERNATIONAL CONFERENCE ON MATHEMATICS, STATISTICS AND THEIR APPLICATIONS (ICMSA2017), 2017, 1905

[6] Complete Classification of Two-Dimensional Algebras [J].

Ahmed, Houida ;

Bekbaev, U. ;

Rakhimov, I. .

4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS4): MATHEMATICAL SCIENCES: CHAMPIONING THE WAY IN A PROBLEM BASED AND DATA DRIVEN SOCIETY, 2017, 1830

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