MINIMAL NUMBER OF IDEMPOTENT GENERATORS OF MATRIX ALGEBRAS OVER ARBITRARY FIELD

被引：7

作者：

KRUPNIK, N

机构：

[1] Department of Mathematics and Computer Science, Bar-Ilan University

来源：

COMMUNICATIONS IN ALGEBRA | 1992年 / 20卷 / 11期

关键词：

D O I：

10.1080/00927879208824513

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that the smallest number nu = nu(n, F) such that. the matrix algebra M(n)(F) (n greater-than-or-equal-to 2) over an arbitrary field F can be generated (as an algebra) by nu idempotents is [GRAPHICS] The minimal number of idempotent generators of a split finite-dimensional semi-simple algebra is also obtained.

引用

页码：3251 / 3257

页数：7

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