Some authors have studied relations between Artin-Schelter regular algebras, N-Koszul algebras and Calabi- Yau algebras (resp. skew Calabi-Yau) of dimension d. In this paper we want to show through examples and counterexamples some relations between …
This article aims to present the Hilbert’s Basis Theorem for an skew polynomials ring, some classes of ideals that are defined in this ring, and the neccesary conditions for an skew polynomials ring to be semiprimitive. Moreover, some examples for …
In this paper we introduce the Quillen-Suslin rings and investigate its relation with some other classes of rings as Hermite rings (each stably free module is free), PSF rings (each finitely generated projective module is stably free), PF rings (each …
In [6] was proved that if R is a principal ideal domain and N ⊂ M are submodules of R[x1, . . . , xn]s, then the primary decomposition for N in M can be computed using Gröbner bases. In this paper we extend this result to Dedekind domains. The …