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arXiv · 1804.11304

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

Per Bäck·Johan Richter
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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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Per Bäck, Johan Richter. 2018-04-30. Hilbert's basis theorem for non-associative and hom-associative Ore extensions. https://doi.org/10.1007/s10468-022-10123-8

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