%0 Journal Article %A MOORTHY, C. GANESA %A SIVA, GURUSAMY %T Automatic Continuity of Surjective Almost Derivations on Frechet Q-Algebras %J Mathematical Analysis and Convex Optimization %V 3 %N 1 %U http://maco.lu.ac.ir/article-1-96-en.html %R 10.52547/maco.3.1.5 %D 2022 %K Almost derivation, Automatic continuity, Frechet Q-algebras., %X In 1971 R. L. Carpenter proved that every derivation T on a semisimple commutative Frechet algebra A with identity is continuous. By relaxing the commutativity assumption on A and adding the surjectivity assumption on T, we derive a corresponding continuity result, for a new concept of almost derivations on Frechet algebras in this article. Also, it is further proved that every surjective almost derivation T on non commutative semisimple Frechet Q-algebras A with an additional condition on A, is continuous. Moreover, an example is provided to illustrate our main result. %> http://maco.lu.ac.ir/article-1-96-en.pdf %P 43-48 %& 43 %! %9 Research Article %L A-10-88-3 %+ Alagappa University %G eng %@ 2717-0624 %[ 2022