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Skew power series rings and derivations [PDF]
Journal of Algebra, 1984 The authors study skew power series rings in z over a skew field F with the commutation rule \(az=za^{\delta_ 0}+z^ 2a^{\delta_ 1}+...,\) where multiplication preserves the order, thus \(a^{\delta_ 0}=0\) implies \(a=0\). The appropriate sequence \((\delta_ 0,\delta_ 1,...)\) (here called ''admissible'', but also ''higher \(\delta_ 0\)-derivations ...
Törner, Günter, Brungs, H.H.
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Implicit linear difference equations over a non-Archi-medean ring
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021 Over any field an implicit linear difference equation one can reduce to the usual explicit one, which has infinitely many solutions ~ one for each initial value.
Anna Goncharuk
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Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific ResearchLet R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem +2 more
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Cramer's rule for implicit linear differential equations over a non-Archimedean ring
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 We consider a linear nonhomogeneous $m$-th order differential equation in a ring of formal power series with coefficients from some field of characteristic zero.
A. Goncharuk
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Baer rings of generalized power series [PDF]
Glasgow Mathematical Journal, 2002 We show that if R is a commutative ring and (S, \leq ) a strictly totally ordered monoid, then the ring [[R^{S, \leq }]] of generalized power series is Baer if and only if R is Baer.
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Semi-Baer and Semi-Quasi Baer Properties of Skew Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific ResearchLet R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of semi-Baer and semi-quasi Baer rings were introduced by Waphare and Khairnar as extensions ...
Mostafa Hamam +2 more
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Mathematics, 2020 Let R be a commutative ring with identity, and let S be a (not necessarily saturated) multiplicative subset of R. We define R to be a nonnil-S-Noetherian ring if each nonnil ideal of R is S-finite.
Min Jae Kwon, Jung Wook Lim
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Hybrid Foil-Litz Windings for Highly Efficient and Compact Medium-Frequency Transformers
IEEE Open Journal of Power Electronics, 2023 Medium-frequency transformers (MFTs) are key components in solid-state transformers, where they provide galvanic isolation and a certain voltage transfer ratio between a MV grid and a LV bus.
Andrea Cremasco +3 more
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Two counterexamples in Power Series Rings
Journal of Algebra, 1986 Un anneau commutatif unitaire R est appelé seminormal si pour b,c\(\in R\) avec \(b^ 3=c^ 2\) il existe \(a\in R\) tel que \(a^ 3=c\) et \(a^ 2=b\). Les AA. donnent un exemple d'anneau R qui est seminormal tel que l'anneau de séries formelles \(R[[ X]]\) n'est pas seminormal et un exemple d'anneau S tel que dans l'anneau \(S[[ X]]\) il existe \(f=\sum^{
Hamann, Eloise, Swan, Richard G
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A STUDY OF DERIVATIONS AND LINEAR MAPPINGS ON SKEW GENERALIZED POWER SERIES MODULES
BarekengThis paper investigates the structure of skew generalized power series modules over skew generalized power series rings, emphasizing the extension of derivations in this context. We define and study additive mappings that generalize classical derivations
Ahmad Faisol, Fitriani Fitriani
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