Results 261 to 270 of about 9,947 (289)

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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Two Symmetric Identities Involving Complete and Elementary Symmetric Functions

Bulletin of the Malaysian Mathematical Sciences Society, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetric identities in graded algebras

Archiv der Mathematik, 1997
The interest in the symmetric polynomial identity \[ P_n(x_1,\ldots,x_n)=\sum_{\sigma\in S_n}x_{\sigma(1)}\ldots x_{\sigma(n)} \] in the theory of PI-algebras originates from the fact that over a field of characteristic 0 this identity is equivalent to the nil identity and the Nagata-Higman theorem gives that the algebra is nilpotent. The recent result
Bahturin, Y. A., Giambruno, A., Zaicev, M. V.   +2 more
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On algebras satisfying symmetric identities

Archiv der Mathematik, 1994
Consider the non-commutative polynomials \[ s_ n = \sum_{\pi \in \text{Sym}(n)} x_{\pi(1)} \dots x_{\pi(n)}\quad \text{and} \quad d_ n = \sum_{\pi \in \text{Sym}(n)} x_{\pi(1)} y_ 1 \dots y_{n - 1} x_{\pi(n)}. \] Let \(R\) be an algebra over a field of characteristic \(p > 0\). We show that if \(s_ n = 0\) (\(d_ n = 0\), resp.) is a polynomial identity
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Symmetric identity federation for fixed-mobile convergence

Proceedings of the 4th ACM workshop on Digital identity management, 2008
This paper discusses issues with identity federation for fixed-mobile convergence to enable single sign-on to applications across networks, leveraging both fixed and mobile terminals. Standardized in OASIS SAML v2.0 specifications, identity federation is a mechanism to establish a link between the identity of a service and that of a different service ...
Makiko Aoyagi, Tsuyoshi Abe, Kenji Takahashi   +2 more
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Representationalism, Symmetrical Supervenience and Identity

Philosophia, 2008
According to some representationalists (M. Tye, Ten problems of consciousness, MIT Press, Massachusetts, USA, 1995; W.G. Lycan, Consciousness and experience, MIT Press, Cambridge, Massachusetts, USA, 1996; F. Dretske, Naturalising the mind, MIT Press, Massachusetts, USA 1995), qualia are identical to external environmental states or features.
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COMMUTATOR IDENTITIES ON SYMMETRIC ELEMENTS OF GROUP ALGEBRAS

Journal of Algebra and Its Applications, 2013
Let K be a field of odd characteristic p, and let G be the direct product of a finite p-group P ≠ 1 and a Hamiltonian 2-group. We show that the set of symmetric elements (KG)* of the group algebra KG with respect to the involution of KG which inverts all elements of G, satisfies all Lie commutator identities of degree t(P) or more, where t(P) denotes ...
Juhász, Tibor, Tóth, Enikő
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Identity-Based Symmetric Private Set Intersection

2013 International Conference on Social Computing, 2013
A private set intersection (PSI) protocol enables two parties to privately compute the intersection of their inputs. Most of its previous versions are unilateral, that is, only one party can learn the intersection and the other learns nothing. Many applications require that both parties can obtain the final result.
Shuo Qiu, Jiqiang Liu, Yanfeng Shi
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On Permanental Identities of Symmetric and Skew-Symmetric Matrices in Characteristic p

Canadian Mathematical Bulletin, 1998
AbstractLet Mn(F) be the algebra of n × n matrices over a field F of characteristic p > 2 and let * be an involution on Mn(F). If s1,…,sr are symmetric variables we determine the smallest r such that the polynomialis a *-polynomial identity of Mn(F) under either the symplectic or the transpose involution.
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Power Sum Identities for Arbitrary Symmetric Arrays

SIAM Journal on Applied Mathematics, 1969
Let \([f_n(k)]\), \(k=0,1,\ldots,n\), be an arbitrary symmetric array of numbers in the sense that \(f_n(k)=f_n(n-k)\). A very special case would be the Pascal triangle with \(f_n(k)=\binom{n}{k}\). This paper considers expressions of the general form \(\displaystyle\sum_{k=0}^n k^pf_n(k) = \sum k^pf\), \(p\) an integer, the latter brief symbolism ...
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