δss-PERFECT MODULES

Abstract

After the definitions of perfect and semiperfect rings, the
transportation of them to perfect and semiperfect modules is a signif-
icant creation for new characterizations of supplemented modules and
the other modified versions of them. Inspired by this idea, we aim to
create a route from δss-perfect rings to δss-perfect modules. A module
W is said to be δss-perfect if each factor module is of a projective δss-
cover. Owing to this goal, we obtain new relations for projective (am-
ply) δss-supplemented and δss-lifting modules. Also, we present various
characterization theorems for a (projective) module to be δss-perfec