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math.RA2025
Weak isotropy of central simple algebras with orthogonal involutions over totally positive field extensions
Priyabrata Mandal, Abhay Soman
In this paper, we explore the behavior of orthogonal involutions in the context of totally positive field extensions. Let be a totally positive extension of formally real fie…
math.AC2025
Homomorphism Counts Quadratic Residues
Priyabrata Mandal, Sonu Kumar, Deep Bhattacharjee
We prove that the ratio of surjective group to ring homomorphism counts between finite cyclic rings admits three simultaneous interpretations that have n…