Results 291 to 300 of about 545,608 (316)

Unit Root Tests in Panel Data: Weighted Symmetric Estimation and Maximum Likelihood Estimation

, 2001
Kim Hyunjung
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On Symmetric Elements and Symmetric Units in Group Rings

Communications in Algebra, 2006
ABSTRACT Let R be a commutative ring, G a group, and RG its group ring. Let ϕ: RG → RG denote the R-linear extension of an involution ϕ defined on G. An element x in RG is said to be symmetric if ϕ (x) = x. A characterization is given of when the symmetric elements (RG)ϕ of RG form a ring. For many domains R it is also shown that (RG)ϕ is a ring if and
Jespers, Eric, Ruiz, M.
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Symmetric Units in Alternative Loop Rings

Algebra Colloquium, 2006
Let L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but not associative, ring. For α = ∑ αℓℓ in a loop ring RL, define α♯= ∑ αℓℓ-1and call α symmetric if α♯= α. We find necessary and sufficient conditions under which the symmetric units are closed under multiplication (and hence form a subloop of the loop of ...
Goodaire, Edgar G., Polcino Milies, César   +1 more
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Symmetric units and group identities

manuscripta mathematica, 1998
In the paper under review the authors discuss when the set of symmetric units of a group ring satisfies a group identity. A unit of a group algebra is called a symmetric unit if it is stable under the involution coming from the natural Hopf algebra structure of the group ring.
Giambruno, A., Sehgal, S. K., Valenti, A.   +2 more
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Unitals and Unitary Polarities in Symmetric Designs

Designs, Codes and Cryptography, 1997
A unital in a symmetric \(2\)-\((v,k,\lambda)\) design \({\mathcal D}\) is a subset \({\mathcal U}\) of the points such that through every \(P\) in \({\mathcal U}\) there are \(k-1\) blocks of \({\mathcal D}\) meeting \({\mathcal U}\) in \(\alpha\) points, for constant \(\alpha\), and one meeting \({\mathcal U}\) in \(P\). A polarity of \({\mathcal D}\)
Mathon, Rudolf, Tran van Trung
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Complex symmetric Toeplitz operators on the unit polydisk

International Journal of Mathematics, 2023
In this paper, we study the complex symmetry of Toeplitz operators on the weighted Bergman spaces over the unit polydisk. First, we completely characterize when anti-linear weighted composition operators [Formula: see text] are conjugations. We then give a sufficient and necessary condition for Toeplitz operators to be complex symmetric with respect ...
Xingtang Dong, Yongxin Gao, Qiuju Hu
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Complex Symmetric Toeplitz Operators on the Unit Polydisk and the Unit Ball

Acta Mathematica Scientia, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Cao, Dong, Xingtang, Zhou, Zehua
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Symmetric quadrature formulas over a unit disk

Korean Journal of Computational & Applied Mathematics, 1997
An algorithm to get an optimal choice for the number of symmetric quadrature points is given to find symmetric quadrature formulas over a unit disk with a minimal number of points even when a high degree of polynomial precision is required. The symmetric quadrature formulas for numerical integration over a unit disk of complete polynomial functions up ...
KyoungJoong Kim, ManSuk Song
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Group algebras with symmetric units satisfying a group identity

manuscripta mathematica, 2005
Let \(G\) be a group and let \(F\) be a field. The group ring \(FG\) has a natural involution given by inverting the elements of \(G\) and extending \(F\)-linearly. Call those units in \(FG\) which are invariant under this involution the symmetric units. The first main result of the paper is the following statement. Suppose \(G\) is a non torsion group
Sehgal, S. K., Valenti, A.
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Nilpotent Symmetric Units in Group Rings

Communications in Algebra, 2003
Abstract Let F be a field of characteristic different from 2 and G a torsion group. We let ∗ denote the involution on the group ring, FG, which sends each group element to its inverse. Let U +(FG) denote the set of units which are symmetric with respect to ∗.
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