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Public Key Protocols from Twisted-Skew Group Rings
CryptographyThis article studies some algebraic structures known as twisted-skew group rings in the context of public key cryptography. We first present some background related to these structures to then specifically introduce particular twisted-skew group rings ...
Javier de la Cruz +3 more
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A remark on group rings of periodic groups [PDF]
International Journal of Group Theory, 2016 A positive solution of the problem of the existence of nontrivial pairs of zero-divisors in group rings of free Burnside groups of sufficiently large odd periods $n>10^{10}$ obtained previously by S. V. Ivanov and R. Mikhailov extended to all odd periods
Artur Grigoryan
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On Azumaya Galois extensions and skew group rings
International Journal of Mathematics and Mathematical Sciences, 1999 Two characterizations of an Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is determined by the trace of the Galois
George Szeto
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Group rings of graded rings. applications
Journal of Pure and Applied Algebra, 1984 A ring R is graded by a group G if \(R=\oplus R(x)\) is a direct sum of the additive subgroups R(x) indexed by the elements \(x\in G\) and if \(R(x)R(y)\subseteq R(xy).\) For example, R could be a group ring S[G] or more generally a crossed product S*G.
openaire +1 more source
The Line Scan Camera Calibration Based on Space Rings Group
IEEE Access, 2018 In addition to the accuracy requirements, the calibration of the line scan camera (LSC) should also have strong operability and portability. This paper presents a low-cost high-reliability LSC calibration method.
Menghui Niu +4 more
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Endomorphism rings of simple modules over group rings [PDF]
, 1996 Robert L. Snider
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Rings all of whose additive group endomorphisms are left multiplications
International Journal of Mathematics and Mathematical Sciences, 1984 Motivated by Cauchy's functional equation f(x+y)=f(x)+f(y), we study in §1 special rings, namely, rings for which every endomorphism f of their additive group is of the form f(x)≡ax. In §2 we generalize to R algebras (R a fixed commutative ring) and give
Michael I. Rosen, Oved shisha
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Second cohomology of Lie rings and the Schur multiplier [PDF]
International Journal of Group Theory, 2014 We exhibit an explicit construction for the second cohomology group$H^2(L, A)$ for a Lie ring $L$ and a trivial $L$-module $A$.We show how the elements of $H^2(L, A)$ correspond one-to-one to theequivalence classes of central extensions of $L$ by $A ...
Max Horn, Seiran Zandi
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1,1′-Bis(1-acetyl-5-methyl-1H-pyrazol-3-yl)ferrocene
Acta Crystallographica Section E, 2011 The title compound, [Fe(C11H11N2O)2], crystallizes with two independent molecules in the asymmetric unit which have have different conformations. In one molecule, the two ferrocene cyclopentadienyl rings are fully eclipsed and the two pyrazole rings are ...
Bei-Bei Zhu +3 more
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