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Extended centroids of skew polynomial rings

Extended centroids of skew polynomial rings
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Fosner, Maja: On the extended centroid of prime associative superalgebras with applications to superderivations. - Commun. Algebra 32, No.2, 689-705 (2004). [ISSN 0092-7872

, 2005
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On Centroid and Extended Centroid of Rings

Communications in Algebra, 2003
Abstract We apply a notion of extended centroid to the whole class of nonassociative rings. We investigate the relation between the centroid and the extended centroid of a nonassociative ring.
N Argaç
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Extended Centroids of Skew Polynomial Rings

Canadian Mathematical Bulletin, 1985
AbstractLet R be a prime ring with σ ∊ Aut (R). We determine the extended centroid of the skew polynomial ring R[x, σ] when (i) 〈σ〉 is X-outer of finite order, (ii) 〈σ〉 is X-outer and infinite, (iii) σm is X-inner and no smaller power of σ fixes the extended centroid of R.
Rosen, Jerry D., Rosen, Mary Peles
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Center, Centroid, Extended Centroid, and Quotients of Jordan Systems

Communications in Algebra, 2006
In this article we prove that the extended centroid of a nondegenerate Jordan system is isomorphic to the centroid (and to the center in the case of Jordan algebras) of its maximal Martindale-like system of quotients with respect to the filter of all essential ideals.
Esther Garcia, MIGUEL Gomez Lozano
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On the Extended Centroid of Prime Associative Superalgebras with Applications to Superderivations

Communications in Algebra, 2004
Abstract The extended centroid of prime associative superalgebras is studied. As applications we obtain the superalgebra versions of some known theorems on derivations and functional identities in associative prime rings.
Maja Fošner
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An extended centroid localization algorithm based on error correction in WSN

2014 IEEE Global Communications Conference, 2014
Error correction is capable of enhancing the accuracy and validity of positioning, thus is attractive to utilize it for sensor positioning network. Considering the high accuracy feature of error correction, this paper provides a novel sensor positioning algorithm named ECL (An extended centroid localization algorithm based on error correction), which ...
Weixiao Meng, Cheng Li
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Extended centroid and central closure of the multiplication algebra

Communications in Algebra, 1999
(1999). Extended centroid and central closure of the multiplication algebra. Communications in Algebra: Vol. 27, No. 12, pp. 5723-5736.
M. Cabrera, Amir A. Mohammed
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An ultrasonic positioning algorithm based on maximum correntropy criterion extended Kalman filter weighted centroid

Signal, Image and Video Processing, 2018
Ultrasonic positioning technology is being used in a wide range of application areas. In an ultrasonic positioning system, the noise of an ultrasound wave may not follow a Gaussian distribution but has a strong impulse because of many factors. A traditional extended Kalman filter based on the minimum mean square error would produce a linear estimation ...
Fangjie Liu, Xiaotong Zhang, Peng Wang   +2 more
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