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math.RA2025
Galois Rings: Ring-Theoretic Properties and Applications to Coulomb Branches and Affine Hecke Algebras
Vyacheslav Futorny, Jonas T. Hartwig, Erich C. Jauch +1
Galois rings and Galois orders, introduced by Futorny and Ovsienko, are realized as subrings of fixed subrings of skew group (or monoid) rings and have numerous applications in the…
math.RA2024
Hilbert-Samuel Polynomials for Algebras with Special Filtrations
Jonas T. Hartwig, Erich C. Jauch, João Schwarz
The notion of multiplicity of a module first arose as consequence of Hilbert's work on commutative algebra, relating the dimension of rings with the degree of certain polynomials.…