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On Regular Quantum Commutative Algebras

math.RA · 2026-05-05 · unverdicted · novelty 7.0

A positive solution to the Bahturin-Regev conjecture is provided for finite-dimensional non-graded algebras over suitable fields, together with a criterion for realizing set-gradings as group gradings via regular quantum commutative decompositions.

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  • On Regular Quantum Commutative Algebras math.RA · 2026-05-05 · unverdicted · none · ref 11

    A positive solution to the Bahturin-Regev conjecture is provided for finite-dimensional non-graded algebras over suitable fields, together with a criterion for realizing set-gradings as group gradings via regular quantum commutative decompositions.