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Hilbert's basis theorem for non-associative and hom-associative Ore extensions (1804.11304v8)
Published 30 Apr 2018 in math.RA
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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