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

DOI10.1007/s10468-022-10123-8arXiv1804.11304OpenAlexW2972921431MaRDI QIDQ6133688

Per Bäck, Johan Richter

Publication date: 21 August 2023

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.11304

zbMATH Keywords

Hom-modulesHom-associative algebrasHom-associative Ore extensionsHilbert's basis theoremnon-commutative Noetherian rings

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) General theory of nonassociative rings and algebras (17A01)

Related Items (4)

On the Hom-associative Weyl algebras ⋮ Hom-prealternative superalgebras ⋮ Deforming algebras with anti-involution via twisted associativity ⋮ HNN-extension of involutive multiplicative Hom-Lie algebras

Cites Work

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• Hom-algebra structures
• Unital algebras of Hom-associative type and surjective or injective twistings
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
• HOM-ASSOCIATIVE ORE EXTENSIONS AND WEAK UNITALIZATIONS
• HOM-ALGEBRAS AND HOM-COALGEBRAS
• Absolute-Valued Algebras

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