Results 31 to 40 of about 426,383 (324)
基本弱Hopf代数和弱覆盖箭图(Basic weak Hopf algebra and weak covering quiver)
Zhejiang Daxue xuebao. Lixue ban, 2016 We introduce a finite-dimensional basic and split weak Hopf algebra H over an algebraically closed field k with strongly graded Jacobson radical r. We obtain some structures of a finite-dimensional basic and split semilattice graded weak Hopf algebra,and
AHMEDMunir(穆尼尔•艾哈迈德) +1 more
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A standard form in (some) free fields: How to construct minimal linear representations
Open Mathematics, 2020 We describe a standard form for the elements in the universal field of fractions of free associative algebras (over a commutative field). It is a special version of the normal form provided by Cohn and Reutenauer and enables the use of linear algebra ...
Schrempf Konrad
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Noncommutative Geometry and Gauge Theory on Fuzzy Sphere [PDF]
, 2000 The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme. The U(1) gauge theory on the fuzzy sphere based on this differential algebra is defined.
Carow-Watamura, Ursula +1 more
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Lattices of Annihilators in Commutative Algebras Over Fields
Demonstratio Mathematica, 2015 Let K be any field and L be any lattice. In this note we show that L is a sublattice of annihilators in an associative and commutative K-algebra. If L is finite, then our algebra will be finite dimensional over K.
Jastrzebska M., Krempa J.
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p-Algebras over an algebraic function field over a perfect field
Journal of Algebra, 1986 Verf. beweist folgenden Satz: Sei K ein algebraischer Funktionen-Körper in r Variablen über einem vollkommenen Körper. Jede p-Algebra A über K ist Brauer-äquivalent dem Kroneckerprodukt von r zyklischen Divisionsalgebren \(D_ i\) mit Exponent \(D_ i=Index D_ i\) und Exponent \(D_ i\leq Exponent A\). Für \(r=1\) ist das ein bekannter Satz von A.
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On derivations of linear algebras of a special type
Дифференциальная геометрия многообразий фигурIn this work, Lie algebras of differentiation of linear algebra, the operation of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov +2 more
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Gradings on Algebras over Algebraically Closed Fields [PDF]
, 2016 The classification, both up to isomorphism or up to equivalence, of the gradings on a finite dimensional nonassociative algebra A over an algebraically closed field F, such that its group scheme of automorphisms is smooth, is shown to be equivalent to the corresponding problem for the scalar extension A_K for any algebraically closed field extension K.
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Structure Theorems for Basic Algebras [PDF]
, 2011 A basic finite dimensional algebra over an algebraically closed field $k$ is isomorphic to a quotient of a tensor algebra by an admissible ideal. The category of left modules over the algebra is isomorphic to the category of representations of a finite ...
Berg, Carl Fredrik
core
On a filtered multiplicative basis of group algebras
, 2000 Let $K$ be a field of characteristic $p$ and $G$ a nonabelian metacyclic finite $p$-group. We give an explicit list of all metacyclic $p$-groups $G$, such that the group algebra $KG$ over a field of characteristic $p$ has a filtered multiplicative $K ...
Bovdi, Victor +1 more
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Altered Dynamic Functional Network Connectivity in Post‐Stroke Aphasia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Previous studies examining post‐stroke aphasia (PSA) patients via resting‐state functional magnetic resonance imaging (rs‐fMRI) have predominantly focused on static functional connectivity. In contrast, the current investigation aims to elucidate the alterations in dynamic functional network connectivity (dFNC) among PSA patients ...
Guihua Xu +6 more
wiley +1 more source