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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.…
math.RA2024
Generalizations of noncommutative Noether's problem
João Schwarz
Noether's problem is classical and very important problem in algebra. It is an intrinsically interesting problem in invariant theory, but with far reaching applications in the sutd…