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On the uniform dimension and the associated primes of skew PBW extensions
Sebastián Higuera, María Camila Ramírez, Armando Reyes
In this paper, we study the uniform dimension and the associated prime ideals of induced modules over skew PBW extensions.
A view toward homomorphisms and cv-polynomials between double Ore extensions
María Camila Ramírez, Armando Reyes
Motivated by the theory of homomorphisms and cv-polynomials of Ore extensions formulated by several mathematicians, the rol of double Ore extensions introduced by Zhang and Zhang i…
On homomorphisms and cv-polynomials between iterated Ore extensions
María Camila Ramírez, Armando Reyes
Motivated by the study of homomorphisms and cv-polynomials presented by Rimmer \cite{Rimmer1978} in the case of Ore extensions of automorphism type, Ferrero and Kishimoto \cite{Fer…
A first approach to the Burchnall-Chaundy theory for quadratic algebras having PBW bases
Arturo Niño, María Camila Ramírez, Armando Reyes
In this paper, we present a first approach toward a Burchnall-Chaundy theory for the skew Ore polynomials of higher order generated by quadratic relations defined by Golovashkin an…