Complete Classification of Two-Dimensional Algebras

被引：7

作者：

Ahmed, Houida ^{[1
,2
]}

Bekbaev, U. ^{[3
]}

Rakhimov, I. ^{[1
,4
]}

机构：

[1] UPM, Dept Math, FS, Seri Kembangan, Yemen

[2] Taiz Univ, Dept Math, FS, Taizi, Yemen

[3] IIUM, Dept Sci Engn, KOE, Kuala Lumpur, Selangor, Malaysia

[4] UPM, Inst Math Res, Seri Kembangan, Malaysia

来源：

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

关键词：

MAPS;

D O I：

10.1063/1.4980965

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A complete classification of two-dimensional algebras over algebraically closed fields is provided.

引用

页数：11

共 6 条

[1]

Bekbaev U., 2015, ARXIV150401194, P1

[2] Classifying quadratic maps from plane to plane [J].

Díaz, RD ;

Masqué, JM ;

Domínguez, AP .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 364 :1-12

[3] Non-degenerate bilinear alternating maps f : V x V → V, dim(V)=3, over an algebraically closed field [J].

Encinas, LH ;

del Rey, AM ;

Masqué, JM .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 387 :69-82

[4]

Goze M., 2011, AFRICAN J MATH PHYS, V10, P81

[5]

Petersson II. P., 2000, RESULTS MATH, V3, P120, DOI DOI 10.1007/BF03322518

[6]

Popov V., 2011, ARXIV14116570V2MATHA, P1

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