3 papers
math.RA2022
MacWilliams extending conditions and quasi-Frobenius rings
Pedro A. Guil Asensio, Ashish K. Srivastava
MacWilliams proved that every finite field has the extension property for Hamming weight which was later extended in a seminal work by Wood who characterized finite Frobenius rings…
math.RA2020
Endomorphism rings via minimal morphisms
Manuel Cortés-Izurdiaga, Pedro A. Guil Asensio, D. Keskin Tütüncü +1
We prove that if is a left minimal extension, then there exists an isomorphism between two subrings, and of $\textrm…
math.RA2015
New Characterizations of pseudo-Frobenius rings and a generalization of the FGF conjecture
Pedro A. Guil Asensio, Serap Sahinkaya, Ashish K. Srivastava
We provide new characterizations of pseudo-Frobenius and quasi-Frobenius rings in terms of tight modules. In the process, we also provide fresh perspectives on FGF and CF conjectur…