Coatomic refinable modules
Authors : Burcu Nişanci Türkmen, Ergül Türkmen
Pages : 92-97
Doi:10.38058/ijsl.774962
View : 11 | Download : 6
Publication Date : 2020-08-26
Article Type : Research
Abstract :In this article, we define the concept of (strongly) coatomic refinable modules as a proper generalization of (strongly) refinable modules. It is shown that: (1) every direct summand of a coatomic refinable module is coatomic refinable; (2) over a left max ring a module M is (strongly) coatomic refinable if and only if it is (strongly) refinable; (3) if a coatomic refinable module M is π-projective, then it is strongly coatomic refinable; (4) if coatomic direct summands lift modulo every coatomic submodule of M , then M is coatomic refinable.Keywords : refinable module, coatomic module, coatomic refinable module