Central Simple Algebra - Pure Mathematics - Algebra Dictionary Definition A finite-dimensional associative algebra A over a field F that is simple (has no nontrivial two-sided ideals) and whose center equals F, i.e., Z(A)=F.
Central Simple Algebra - Pure Mathematics - Algebra Dictionary Definition A finite-dimensional associative algebra A over a field F that is simple (has no nontrivial two-sided ideals) and whose center equals F, i.e., Z(A)=F.