We introduce the notions of T-dual Rickart and strongly T-dual Rickart modules. We provide
several characterizations and investigate properties of each of these concepts. It is shown …

In this paper we introduce and study the concept of dual strongly Rickart modules as a
stronger than of dual Rickart modules [8] and a dual concept of strongly Rickart modules. A …

Let R be a commutative ring with identity and M be an R-module. In this paper we
introducethe dual concepts of Pure Rickart modules and Pure𝜋-Rickart modulesas a …

In this article, we study the notion of closed Rickart modules. A right R-module M is said to
be closed Rickart if, for each, is a closed submodule of M. Closed Rickart modules is a …

We introduce the notion of t-Rickart modules as a generalization of t-Baer modules. Dual t-
Rickart modules are also defined. Both of these are generalizations of continuous modules …

In this paper, we introduce a dual purely Rickart modules as a dual concept of purely Rickart
modules and a proper generalization to dual Rickart modules. Some characterizations are …

We introduce the notions of T-Rickart and strongly T-Rickart modules. We provide several
characterizations and investigate properties of each of these concepts. It is shown that R is …

Rickart property for modules has been studied recently. In this article, we introduce and
study the notion of dual Rickart modules. A number of characterizations of dual Rickart …

Let M be a module over a ring with identity and F be a fully invariant submodule of M. A
module M is an F-CS-Rickart module if⁻ ¹ (F) is an essential submodule of a direct …

Let R be a commutative ring with identity and M be an R-module. Let Z2 (M) be the second
singular submodule of M. In this research we introduce the concept of Goldie Pure Rickart …