فهرست نشریات علمی دسترسی آزاد ایران

Let $A$ be an $F$-algebra over the complex field.  Let $B$ be an $F$-algebra such that the intersection of kernels of all continuous multiplicative linear functionals on $B$ is singleton zero.  If any nonempty open subset of the collection $M(B)$ of all continuous multiplicative linear functionals in the Gelfand topology contains uncountably many functionals or if $B$ is a commutative Frechet algebra such that $M(B)$ has no isolated points, then any homomorphism from $A$ onto a dense finitely generated subalgebra of $B$ is continuous.  This result has been proved in this article which is similar to a result derived by R.L. Carpenter.