TY - JOUR
T1 - Minimal Number of Idempotent Generators of Matrix Algebras Over Arbitrary Field
AU - Krupnik, Naum
PY - 1992/1/1
Y1 - 1992/1/1
N2 - . 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.
AB - . 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.
UR - http://www.scopus.com/inward/record.url?scp=21144464424&partnerID=8YFLogxK
U2 - 10.1080/00927879208824513
DO - 10.1080/00927879208824513
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AN - SCOPUS:21144464424
SN - 0092-7872
VL - 20
SP - 3251
EP - 3257
JO - Communications in Algebra
JF - Communications in Algebra
IS - 11
ER -