Non-unital Ore extensions

DOI10.4064/cm8941-11-2022arXiv2206.05071MaRDI QIDQ6107842

Patrik Lundström, Johan Richter, Johan Öinert

Publication date: 28 June 2023

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.05071

zbMATH Keywords

outer derivationOre extensionsimple ringnon-unital ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Rings of differential operators (associative algebraic aspects) (16S32) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Filtered associative rings; filtrational and graded techniques (16W70) Associative rings and algebras arising under various constructions (16S99)

Cites Work

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• A combinatorial proof of associativity of Ore extensions.
• Morita equivalence for rings without identity
• Prime ideals in skew polynomial rings and quantized Weyl algebras
• Non-associative Ore extensions
• Theory of non-commutative polynomials
• Leavitt path algebras
• Simplicity of Ore monoid rings
• Quadratic Extensions of Skew Fields
• On Rings whose Left Modules are Direct Sums of Finitely Generated Modules
• HOM-ASSOCIATIVE ORE EXTENSIONS AND WEAK UNITALIZATIONS
• MAXIMAL COMMUTATIVE SUBRINGS AND SIMPLICITY OF ORE EXTENSIONS
• A survey of s-unital and locally unital rings
• A Ring Primitive on the Right But Not on the Left
• Finite-Dimensional Division Algebras over Fields