On minimax and cominimax modules relative to a good family of ideals

Abstract

This work develops a study of the class of minimax modules relative to a good family of ideals and introduces the collection of the (S, I, β)-cominimax modules, where S is a Serre class in the R-modules category. Also, it addresses a generalized local cohomology module and ideal transforms with support into a good family of ideals. In addition, some results of minimaximality are presented for generalized local cohomology modules and generalized ideal transforms.