Finitely cogenerated distributive modules are Q-cocyclic

摘要

In this paper we consider a generalization of Vamos's proposition which asserts that finitely generated artinian and distributive modules are cyclic. Also, we show its duality as an answer to the problem which is shown by him (See Vamos, [Vamos, P. (1978). Finitely generated artinian and distributive modules are cyclic.