Results 11 to 20 of about 665,695 (311)

Normality in group rings [PDF]

open access: yesSt. Petersburg Mathematical Journal, 2008
Let KG be the group ring of a group G over a commutative ring K with unity. The rings KG are described for which xx(sigma)=x(sigma)x for all x=∑(g∈G)alfa(g)g∈KG, where x↦x(sigma)=∑(g∈G)alfa(g)f(g)sigma(g) is an involution of KG; here f:G→U(K) is a ...
Bódi, Viktor, Siciliano, S.
core   +5 more sources

On the group ring.

open access: yesCanadian Journal of Mathematics, 1963
In this thesis we study the group ring of an arbitrary group over an associative ring with unit element. Classically the group ring studied was that of a finite group over a field, and with the introduction of group characters a number of theorems on ...
Connell, Ian. G., Ian G. Connell
core   +2 more sources

Ring Group Signatures [PDF]

open access: yes2012 IEEE 11th International Conference on Trust, Security and Privacy in Computing and Communications, 2012
In many applications of group signatures, not only a signer\u27s identity but also which group the signer belongs to is sensitive information regarding signer privacy.
Liqun Chen
core   +4 more sources

Group extensions and automorphism group rings [PDF]

open access: yesHomology, Homotopy and Applications, 2003
The group ring of the automorphism group of a p-group is studied using the automorphism groups of subgroups and quotient groups of P.
Martino, John, Priddy, Stewart
openaire   +4 more sources

More on the Schur group of a commutative ring

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
The Schur group of a commutative ring, R, with identity consists of all classes in the Brauer group of R which contain a homomorphic image of a group ring RG for some finite group G.
R. A. Mollin
doaj   +2 more sources

Smarandache Idempotents infinite ring Zn and in Group Ring ZnG [PDF]

open access: yes, 2005
This paper has 4 sections. In section 1, we just give the basic definition of S-idempotents in rings. In section 2, we prove the existence of S-idempotents in the ring Zn where n = 2mp;m 2 N and p is an odd ...
Vasantha, W.B, Chetry, Moon K.
core   +1 more source

ON-SITE SEMANTIC MAPPING OF ARCHAEOLOGICAL EXCAVATION AREAS [PDF]

open access: yesISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2013
3D laser scanning is the state of the art in modeling archaeological excavation sites, historical sites and even entire cities or landscapes. The documentation of findings on an excavation site is an essential archaeological task.
H. Houshiar   +5 more
doaj   +1 more source

Zassenhaus conjecture for central extensions of S5 [PDF]

open access: yes, 2008
We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor   +4 more
core   +1 more source

Hopfian additive groups of rings [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика
A group is called Hopfian  if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H.
Kaigorodov, Evgeniy Vladimirovich
doaj   +1 more source

Grothendieck Groups of Invariant Rings and of Group Rings

open access: yesJournal of Algebra, 1994
Let \(G\) be a finite group acting as automorphisms of a (right) Noetherian ring \(S\), and \(R = S^ G\) be the fixed ring under this action. There is a Morita context linking the skew group ring \(T = S * G\) with \(R\), via the bimodules \(tT\) and \(Tt\) where \(t = \sum_{g \in G} g\). Suppose that the trace map \(\text{tr} : S \to R\) is surjective.
Brown, K.A., Lorenz, M.
openaire   +2 more sources

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