2 papers
math.RA2025
On Modules Whose Pure Submodules Are Essential in Direct Summands
Kaushal Gupta, Theophilus Gera, Amit Sharma +1
We introduce the notion of pure extending modules, a refinement of classical extending modules in which only pure submodules are required to be essential in direct summands. Fundam…
math.RA2025
Modules With Descending Chain Conditions on Endoimages
Theophilus Gera, Manoj Kumar Patel, Ashok Ji Gupta
We investigate endoartinian modules, which satisfy the descending chain condition on endoimages, and establish new characterizations that unify classical and generalized chain cond…