local automorphisms;
simple F-algebras;
semisimple F-algebras;
group algebras;
IDEMPOTENT MATRICES;
DERIVATIONS;
SPACES;
RINGS;
MAPS;
D O I:
暂无
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Let F be a field of characteristic not 2, and let A be a finite-dimensional semisimple F-algebra. All local automorphisms of A are characterized when all the degrees of A are larger than 1. If F is further assumed to be an algebraically closed field of characteristic zero, K a finite group, FK the group algebra of K over F, then all local automorphisms of FK are also characterized.