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The Hilbert Basis Theorem for Non-Associative Skew Power Series Rings and Non-Associative Skew Laurent Series Rings over a Non-Associative Coefficient Ring

Mangubat, Darwin P. et al.
arXiv (All) · Papers
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rings-and-algebras
In this paper, we give conditions on a unital non-associative ring $R$ and additive map $σ: R\longrightarrow R$ so that the non-associative skew power series ring, denoted by $R[[X;σ]]$ and the non-associative skew Laurent series ring denoted by $R((X;σ))$ are left (resp. right) Noetherian, respecti
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