Generalized power series ring - Open Access .click

Acta Mathematica Sinica, English Series, 2000
English translation of the article reviewed above (Zbl 1015.16045).
Liu Zhongkui
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On the generalized Krull property in power series rings

Journal of Pure and Applied Algebra, 2020
A generalized Krull domain is a domain \(R\) with a family \((R_{\alpha})_{\alpha\in\Lambda}\) of valuation overrings satisfying: (a) \(\displaystyle R=\bigcap_{\alpha\in\Lambda}R_{\alpha}\). (b) The family \((R_{\alpha})_{\alpha\in\Lambda}\) has a finite character. (c) Each \(R_{\alpha}\) is the localization of \(R\) at \(M_{\alpha}\cap R\) where \(M_{
Giau L.T.N., Kang B.G., Toan P.T.
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Triangular Matrix Representations of Rings of Generalized Power Series

Acta Mathematica Sinica, English Series, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong Kui Liu, Liu Zhong Kui
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Noetherian Generalized Power Series Rings

Communications in Algebra, 2004
Abstract Let R be a unitary ring and (M, ≤) a strictly ordered monoid. We show that, if (M, ≤) is positively ordered, then the generalized power series ring R[[M, ≤]] is left Noetherian, if and only if, R is left Noetherian and M is finitely generated, if and only if, R is left Noetherian and R[[M, ≤]] is a homomorphic image of the power series ring R[[
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formal power series rings
skew generalized power series rings
strictly ordered monoid

algebra and number theory
generalized power series
skew generalized power series ring

generalized power series rings
fos: mathematics
strictly ordered monoids