3 papers
math.RA2026
Endochain conditions on modules and -quasi-Frobenius rings
Theophilus Gera, Amit Sharma, Manoj Kumar Patel +1
Analogous to quasi-Frobenius rings, dual rings, and Johns rings, the classes of -quasi-Frobenius rings, -dual rings, -Johns rings are introduced and used to discuss and se…
math.RA2025
Central quasi-morphicity, central morphicity, and strongly -regularity
Theophilus Gera, Amit Sharma
This paper revisits the notions of centrally morphic and centrally quasi-morphic modules introduced by Dehghani and Sedaghatjoo. We identify sufficient conditions under which these…
math.RA2025
On modules whose pure submodules are essential in direct summands
Kaushal Gupta, Theophilus Gera, Amit Sharma +1
We introduce the notion of \emph{pure extending modules}, a refinement of classical extending modules in which only pure submodules are required to be essential in direct summands.…