References & Citations
Mathematics > Rings and Algebras
Title: Non-associative versions of Hilbert's basis theorem
(Submitted on 24 Apr 2024 (v1), last revised 29 Apr 2024 (this version, v2))
Abstract: We prove several new versions of Hilbert's basis theorem for non-associative Ore extensions, non-associative skew Laurent polynomial rings, non-associative skew power series rings, and non-associative skew Laurent series rings. For non-associative skew Laurent polynomial rings, we show that both a left and a right version of Hilbert's basis theorem hold. For non-associative Ore extensions, we show that a right version holds, but give a counterexample to a left version; a difference that does not appear in the associative setting.
Submission history
From: Per Bäck [view email][v1] Wed, 24 Apr 2024 08:22:47 GMT (10kb)
[v2] Mon, 29 Apr 2024 06:15:23 GMT (10kb)
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