Minimal Number of Idempotent Generators of Matrix Algebras Over Arbitrary Field

Naum Krupnik

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

. It is proved that the smallest number v = v(n,F) such that the matrix algebra Mn(F) (n > 2) over an arbitrary field F can be generated (as an algebra) by v idempotents is f 2 if n = 2 and F ≠ Z2, v(n,F)= 3 for the remaining cases. The minimal number of idempotent generators of a split finite-dimensional semi-simple algebra is also obtained.

Original languageEnglish
Pages (from-to)3251-3257
Number of pages7
JournalCommunications in Algebra
Volume20
Issue number11
DOIs
StatePublished - 1 Jan 1992

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