4 papers
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…
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.…
Maps between standard and principal flag orders
Erich C. Jauch
Galois orders, introduced in 2010 by V. Futorny and S. Ovsienko, form a class of associative algebras that contain many important examples, such as the enveloping algebra of $\math…
An extension of related to the alternating group and Galois orders
Erich C. Jauch
In 2010, V. Futorny and S. Ovsienko gave a realization of as a subalgebra of the ring of invariants of a certain noncommutative ring with respect to the action…