Retractable Modules Relative To A Submodule And Some Generalizations

EPI-Retractable Modules and Some Applications

Erratum: Applications of epi-retractable and co-epi-retractable modules

In this errata, we reconsider and modify two propositions and their corollaries which were written on epi-retractable and co-epi-retractable modules.

Some Generalizations of Fully Dual-Stable Modules

In a previous paper we introduce the concept of full d-stability, in this work several types of generalizations were introduced ; minimal (maximal) d-stable; fully pseudo d-stable and afd-stable module. A dual to the notion of terse module is, also, introduced namely d-terse and it is shown that it is coincide with fully pseudo d-stable.

epi-retractable modules and some applications

F-regularity relative to modules

In this paper we will generalize  some of known results on the tight closure of an ideal to the tight closure of an ideal relative to a module .