TY - JOUR T1 - Automatic Continuity of Surjective Almost Derivations on Frechet Q-Algebras TT - JF - lu-maco JO - lu-maco VL - 3 IS - 1 UR - http://maco.lu.ac.ir/article-1-96-en.html Y1 - 2022 SP - 43 EP - 48 KW - Almost derivation KW - Automatic continuity KW - Frechet Q-algebras. N2 - 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. M3 10.52547/maco.3.1.5 ER -