most citedCommuting Probability of Finite Groups (Extended)

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math.RA2025

Finitely Generated Congruences in Semirings and Canonical Positive Models

Snehinh Sen

In this paper, we explore semirings in which all congruences are finitely generated. Such semirings are dubbed \textit{Congruence Noetherian}. After developing sufficient backgroun…

math.RA2023

Fields With Finitely Many Non-Commutative Division Algebras Over Them

Snehinh Sen

We classify fields having finitely many finite non-commutative (not necessarily central) division algebras over them. In the process, we introduce the notion of anti-closure of a f…