Non-associative versions of Hilbert's basis theorem

DOI10.4064/cm9419-9-2024MaRDI QIDQ6654945

Johan Richter, Per Bäck

Publication date: 20 December 2024

Published in: Colloquium Mathematicum (Search for Journal in Brave)

zbMATH Keywords

non-associative Hilbert's basis theoremnon-associative Ore extensionsnon-associative skew Laurent polynomial ringsnon-associative skew Laurent series ringsnon-associative skew power series rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Graded rings and modules (associative rings and algebras) (16W50) General nonassociative rings (17A99) Twisted and skew group rings, crossed products (16S35) Other nonassociative rings and algebras (17D99) Filtered associative rings; filtrational and graded techniques (16W70)

Cites Work

• Unnamed Item
• Localization and ideal theory in Noetherian strongly group-graded rings
• Non-associative Ore extensions
• Simple graded rings, nonassociative crossed products and Cayley–Dickson doublings
• Hilbert's basis theorem for non-associative and hom-associative Ore extensions

This page was built for publication: Non-associative versions of Hilbert's basis theorem