Results 31 to 40 of about 26,644,987 (330)
On the ring of quotients of a group ring [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper the following extension of a result of Martha Smith is proved. Theorem. Let K [ G ]
openaire +2 more sources
Integral group ring of the McLaughlin simple group [PDF]
, 2007 We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL.
Bódi, Viktor, Konovalov, A. B.
core +1 more source
Smarandache Idempotents infinite ring Zn and in Group Ring ZnG [PDF]
, 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
Integral cohomology and chern classes of the special linear group over the ring of integers [PDF]
, 2001 This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique +3 more
core +1 more source
On one class of modules over group rings with finiteness restrictions [PDF]
International Journal of Group Theory, 2014 The author studies the $bf R$$G$-module $A$ such that $bf R$ is an associative ring, a group $G$ has infinite section $p$-rank (or infinite 0-rank), $C_{G}(A)=1$, and for every proper subgroup $H$ of infinite section $p$-rank (or infinite 0-rank ...
Olga Dashkova
doaj
Journal of Algebra, 2006 The authors' prime objective is to prove that the integral group ring \(\mathbb{Z} G\) of the non-Abelian finite group \(G\) of order prime to 6 contains two Bass cyclic units that generate a non-Abelian free group. A Bass cyclic unit of \(\mathbb{Z} G\) is an element of the form \[ (1+x+\cdots+x^{k-1})^m+d^{-1}(1-k^m)(1+x+\cdots+x^{d-1}), \] where \(x\
Gonçalves, J. Z., Passman, D. S.
openaire +2 more sources
SMARANDACHE PSEUDO- IDEALS [PDF]
, 2008 In this paper we study the Smarandache pseudo-ideals of a Smarandache ring. We prove every ideal is a Smarandache pseudo-ideal in a Smarandache ring but every Smarandache pseudo-ideal in general is not an ideal. Further we show that every polynomial ring
Vasantha Kandasamy, W. B.
core +1 more source
A Characterization of Commutative Group Rings Whose Units Are Feckly Trivial
MathematicsCharacterizing specific types of units in group rings in terms of the Jacobson radical constitutes a frequently investigated problem in the theory of group rings.
Ömer Küsmüş
doaj +1 more source
On Reversible Group Rings [PDF]
Bulletin of the Australian Mathematical Society, 2006 Let G be an arbitrary finite group, R be a finite associative ring with identity and RG be the group ring. We show that ℤ2Q8 is the minimal reversible group ring which is not symmetric, and we also characterise the finite rings R for which RQ8 is reversible. The first result extends a result of Gutan and Kisielewicz which shows that ℤ2Q8 is the minimal
Li, Yuanlin +2 more
openaire +1 more source
SensorsAtomic Force Microscopy (AFM) uses oscillating cantilever-shaped microprobes to measure nanometer-scaled sample topography. Spatial resolution of AM-AFM is determined by the dynamics of the cantilever-sample system including thermomechanical noise of the
Jonathan Ehrmann +2 more
doaj +1 more source