Śliwa, Wiesław2011-01-122011-01-122007Canad. Math. Bull., 50(2007), 149-157.http://hdl.handle.net/10593/797We show that there exists a non-archimedean Frechet-Montel space W with a basis and with a continuous norm such that any non-archimedean Frechet space of countable type is isomorphic to a quotient of W. We also prove that any non-archimedean nuclear Frechet space is isomorphic to a quotient of some non-archimedean nuclear Frechet space with a basis and with a continuous norm.enNon-archimedean Kothe spacesNuclear Frechet spaces; pseudo-bases