Results 21 to 30 of about 33,116 (304)

An intermediate ring between a polynomial ring and a power series ring

Colloquium Mathematicum, 2013
Let R[x] and R[[x]] respectively denote the ring of polynomials and the ring of power series in one indeterminate x over a ring R. For an ideal I of R, denote by [R; I)[x] the following subring of R[[x]]:
Kosan, M. Tamer, Lee, Tsiu-Kwen, Zhou, Yiqiang   +2 more
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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
doaj   +1 more source

Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
Let 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, Ramy Abdel-Khalek, Mostafa Hamam   +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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On isomorphic power series rings [PDF]

Osaka Journal of Mathematics, 1976
Yasunori Ishibashi
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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 Research
Let 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, Ramy Abdel-Khaleq, Refaat Salem   +2 more
doaj   +1 more source

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, Daniel Rothmund, Mitrofan Curti, Elena A. Lomonova   +3 more
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On Nonnil-S-Noetherian Rings

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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