Results 21 to 30 of about 9,360 (253)
Noetherian properties in composite generalized power series rings
Open Mathematics, 2020 Let (Γ,≤)({\mathrm{\Gamma}},\le ) be a strictly ordered monoid, and let Γ⁎=Γ\{0}{{\mathrm{\Gamma}}}^{\ast }\left={\mathrm{\Gamma}}\backslash \{0\}. Let D⊆ED\subseteq E be an extension of commutative rings with identity, and let I be a nonzero proper ...
Lim Jung Wook, Oh Dong Yeol
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Skew generalized power series Hopfian modules
Arab Journal of Mathematical Sciences, 2016 In this paper we study the transfer of the property of Hopfian modules between the right R-module MR and some of its extension classes. Namely, under certain conditions, we show that: MR is a Hopfian right R-module if and only if the skew generalized ...
Refaat Salem +2 more
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Generic Fiber of Power Series Ring Extensions [PDF]
Communications in Algebra, 2009 Let D be a Noetherian domain containing a field, d a nonzero nonunit of D and z an indeterminate over D. We prove that the generic fiber of D[1/d][[z]] over D[[z]] has dimension greater than the dimension of D/dD.
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Rings of Generalized Power Series
Journal of Algebra, 1994 [For part I see Abh. Math. Semin. Univ. Hamb. 61, 15-33 (1991; Zbl 0751.13005).] Consider a strictly ordered monoid \(S\) and a commutative ring \(R\) with unit element. A generalized power series with coefficients in \(R\) and exponents in \(S\) is a mapping \(f:S \to R\) having artinian and narrow support \((\text{supp} (f))\), that is every strictly
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Unique factorization in generalized power series rings [PDF]
Proceedings of the American Mathematical Society, 2005 Let K K be a field of characteristic zero and let
Pommersheim, James, Shahriari, Shahriar
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IDEMPOTENT MATRIX OVER SKEW GENERALIZED POWER SERIES RINGS
, 2022 Let $R[[S,\leq,\omega]]$ be a skew generalized power series ring, with $R$ is a ring with an identity element, $(S,\leq)$ a strictly ordered monoid, and $\omega:S\rightarrow End(R)$ a monoid homomorphism.
Faisol, Ahmad, Fitriani, Fitriani
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Special Properties of Generalized Power Series
, 1995 This is a sequel to my previous papers on generalized power series. For the convenience of the reader I gather in the first section the definitions and results which shall be required.
Ribenboim, P.
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TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS
, 2010 Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Neuromyelitis optica spectrum disorder (NMOSD) is a relapsing autoimmune disease of the central nervous system. High‐dose intravenous methylprednisolone (IVMP) is the standard first‐line therapy for acute attacks, although some patients remain refractory.
Wataru Horiguchi +5 more
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Molecular Oncology, EarlyView.Pre‐analytical handling critically determines liquid biopsy performance. This study defines practical best‐practice conditions for cell‐free DNA (cfDNA) and extracellular vesicle–derived DNA (evDNA), showing how processing time, storage conditions, tube type, and plasma input volume affect DNA integrity and mutation detection.
Jonas Dohmen +11 more
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