3 papers
math.RA2022
Centrally endo-AIP Modules
Shiv Kumar, Ashok Ji Gupta
In this paper, we introduce the concept of centrally endo-AIP modules. We call a module M centrally endo-AIP, if the left annihilator of any fully invariant submodule N of M in the…
math.AC2022
Modules in which pure submodule is essential in a direct summand
Kaushal Gupta, Shiv Kumar, Ashok Ji Gupta
In this paper, we study the class of modules have the property that every pure submodule is essential in a direct summand. These modules are termed as pure extending modules which…
math.RA2022
Σ-dual Rickart modules
Shiv Kumar, Ashok Ji Gupta
In this paper, we dualize the concept of Σ-Rickart modules as Σ-dual Rickart modules. An R-module M is said to be Σ-dual Rickart if the direct sum of arbitrary copies of M is dual…