Rings and Algebras

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Non-commutative rings, algebras, and universal algebra.

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Mathematics

Spectral Certificates Separate Accuracy From Inference

An explicit Matrix-Bernstein and gap protocol gives finite-sample network certificates, then declines when valid sets are still vacuous.

math.STmath.COmath.RA
Jul 30, 20265 min2602.10566
Mathematics

Kummer Torsors Classify Polyadic Line Products Over Semirings

The classification identifies nondegenerate n-ary line products with μ_{n−1}-torsors, separating Picard torsion from unit-power obstruction.

math.RA
Jul 28, 20265 min2512.20784