FUNDAMENTAL THEOREM OF FINITE DIMENSIONAL Z2-GRADED ASSOCIATIVE ALGEBRAS

被引：2

作者：

Brunshidle, Lindsay ^{[2
]}

Fialowski, Alice ^{[1
]}

Frinak, Josh ^{[2
]}

Penkava, Michael ^{[2
]}

Wackwitz, Dan ^{[2
]}

机构：

[1] Eotvos Lorand Univ, H-1117 Budapest, Hungary

[2] Univ Wisconsin, Eau Claire, WI 54701 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 11期

关键词：

Associative algebras; Graded algebras;

D O I：

10.1080/00927872.2011.602162

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we give an extension of the Fundamental Theorem of finite dimensional algebras to the case of Z(2)-graded algebras. Essentially, the results are the same as in the classical case, except that the notion of a Z(2)-graded division algebra needs to be modified. We classify all finite dimensional Z(2)-graded division algebras over C and R.

引用

页码：4068 / 4088

页数：21

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