Hilbert's basis theorem for non-associative and hom-associative Ore extensions

2018/04/30 by Bäck, Per, Richter, Johan · 1 citation
#17D30 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1804.11304

Abstract

We prove a hom-associative version of Hilbert's basis theorem, which includes as special cases both a non-associative version and the classical associative Hilbert's basis theorem for Ore extensions. Along the way, we develop hom-module theory. We conclude with some examples of both non-associative and hom-associative Ore extensions which are all noetherian by our theorem.

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• Hilbert's Basis Theorem for generalized nonassociative Ore extensions

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