Results 231 to 240 of about 28,026 (260)

Symmetric polynomials and the center of the symmetric group ring

Reports on Mathematical Physics, 1974
Abstract The homomorphism of a special kind between the ring of symmetric polynomials and the center of the symmetric group ring is established. In the homomorphic mapping of the first ring on the second one the proper values of the images are the values of the corresponding symmetric polynomials with the variables substituted by the set of integers ...
openaire   +2 more sources

Operations in Grothendieck Rings and the Symmetric Group

Canadian Journal of Mathematics, 1974
In [1] Atiyah described how to use the complex representations of the symmetric group, Sn, to define and investigate operations in complex topological K-theory. In this paper operations for more general Grothendieck groups are described in terms of the integral representations of Sn using the representations directly without passing to the dual as ...
openaire   +2 more sources

Dynamics of Bilaterally Symmetric Vortex Rings

The Physics of Fluids, 1972
The motion of vortex rings with bilaterally symmetric initial shape is investigated theoretically and experimentally. The induced velocity at each point on the vortex ring is computed from the Biot-Savart law. The induced velocity is related to the motion of the ring according to two different concepts: (1) Hydrodynamic vortex—the ring moves with the ...
Viet, Hermann, Sforza, Pasquale M.
openaire   +2 more sources

Symmetrics in simple Artinian rings

1990
The authors prove four results about symmetric elements in simple Artinian rings with involution. Let R be a simple Artinian ring with involution *, char \(R\neq 2\), Z the center of R, and \(S=\{r\in R|\) \(r^*=r\}\). The four results assume that \(S\not\subset Z\) and that R is not \(M_ 2(GF(3))\) with symplectic involution, and are: (1) If \(\dim_ ...
Lee, Pjek-Hwee, Lee, Tsung-Cherng
openaire   +1 more source

LOCALLY POLYNOMIAL RINGS AND SYMMETRIC ALGEBRAS

Mathematics of the USSR-Izvestiya, 1977
In this paper we prove that every finitely generated locally polynomial algebra over a ring having only a finite number of minimal prime ideals is isomorphic to the symmetric algebra of a finitely generated projective module. We also obtain some other results on the structure of locally polynomial algebras.Bibliography: 8 titles.
openaire   +2 more sources

Commutativity of symmetric elements in group rings

Journal of Group Theory, 2006
Let \(R\) be a commutative ring with unity and let \(G\) be a group. Denote by \(RG\) the group ring of \(G\) over \(R\). The ring \(RG\) has a natural involution \(*\) defined by \((\sum\alpha_gg)^*=\sum\alpha_gg^{-1}\). Let \(RG^+=\{\alpha\in RG\mid\alpha^*=\alpha\}\) be the set of `symmetric elements' of \(RG\). In this paper, the author establishes
openaire   +1 more source

Design Charts for Symmetrical Ring Girders

Journal of Applied Mechanics, 1957
Abstract Charts, based on classical bending-energy analysis, are presented for the determination of critical design moments in symmetrical ring girders varying in shape from circular through round to sharp-cornered rings. The girders are subjected to uniform normal loading in the plane of the ring.
openaire   +2 more sources

Generalized symmetric rings

2019
In this paper, we introduce a class of rings which is a generalization of symmetric rings. Let R be a ring with identity. A ring R is called central symmetric if for any a, b,c???R, abc=0 implies bac belongs to the center of R. Since every symmetric ring is central symmetric, we study sufficient conditions for central symmetric rings to be symmetric ...
Kafkas, G., Ungor, B., Halicioglu, S., Harmanci, A.   +3 more
openaire   +1 more source

K -Symmetric Rings

Journal of the London Mathematical Society, 1980
Lenagan, T. H., Moss, P. B.
openaire   +1 more source

ON STRONG SYMMETRIC RINGS AND THEIR EXTENSIONS

JP Journal of Algebra, Number Theory and Applications, 2020
openaire   +1 more source