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Hilbert's basis theorem for non-associative and hom-associative Ore extensions
- Source :
- Algebr. Represent. Theory 26 (2023)
- Publication Year :
- 2018
-
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.<br />Comment: 18 pages; simplified the proof of Proposition 12; changed the title, abstract and introduction, added an example and a corollary together with some minor changes; corrected some minor typos in reference list; major revision including new title, shorter proofs and four new examples; added an example and updated an example, adjusted the language; added/adjusted examples; minor update
- Subjects :
- Mathematics - Rings and Algebras
17D30
Subjects
Details
- Database :
- arXiv
- Journal :
- Algebr. Represent. Theory 26 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.1804.11304
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s10468-022-10123-8