Results 51 to 60 of about 222,859 (215)
Idempotents in Group Rings [PDF]
Proceedings of the American Mathematical Society, 1971 In this note we offer an elementary entirely self-contained proof of a theorem of Kaplansky on idempotents in complex group rings.
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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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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.
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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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Units and augmentation powers in integral group rings [PDF]
, 2020 Sugandha Maheshwary, Inder Bir S. Passi
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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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Finite rank torsion-free abelian groups uniserial over their endomorphism rings [PDF]
, 1985 Jutta Hausen
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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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