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math.RA2026
Nilpotent Product Probability of Finite Rings
Dibyasman Sarma, Tikaram Subedi
For a finite ring , we investigate the probability that the product of two randomly chosen elements in is nilpotent, which we call the nilpotent product probability (NPP) of…
math.RA2026
Semicommutativity via Zero-Insertive Elements: Insights from Path and Leavitt Path Algebras
Sanjiv Subba, Tikaram Subedi
In the path algebra , where is a field and is a directed graph (or quiver), every non-loop edge can be expressed in the form , where and . This…