5 citations · 17 across the 27 of their papers we have counts for
4 papers · 1 filter
Hilbert's Basis Theorem for generalized nonassociative Ore extensions
Per Bäck, Masood Aryapoor
We introduce a broader class of nonassociative Ore extensions that unifies and generalizes several earlier constructions. We prove generalizations of Hilbert's Basis Theorem for th…
Amitsur--Small Extensions and a Skew Amitsur--Small Theorem
Masood Aryapoor
We introduce the notion of Amitsur--Small extensions to generalize a key lemma underlying the Amitsur--Small Theorem to the skew setting. Building on this framework, we establish a…
Prime One-Sided Ideals in Principal Ideal Domains
Masood Aryapoor
This article investigates various notions of primeness for one-sided ideals in noncommutative rings, with a focus on principal ideal domains.
The Central Nullstellensatz over Centrally Algebraically Closed Division Rings
Masood Aryapoor
We introduce the concept of centrally algebraically closed division rings and show that a division ring satisfies the central Nullstellensatz if and only if it is centrally algebra…