From the 1 of 6 linked papers with an AI index.
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Galois Rings, Coulomb branches and the Gelfand-Kirillov Conjecture
Vyacheslav Futorny, Jonas T. Hartwig, Erich C. Jauch +1
Galois rings and orders, introduced by Futorny and Ovsienko, are embedded into fixed subrings of skew group (or monoid) rings and have many interesting applications to the structur…
Gelfand-Kirillov conjecture as a first-order formula
Hugo Luiz Mariano, João Schwarz
Let be a (reduced) root system. Let be an algebraically closed field of zero characteristic, and consider the corresponding semisimple Lie algebra $\mathfrak{g}_{…
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.…
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…