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Derivations with Power Values on Lie Ideals in Rings and Banach Algebras
Rehman, Nadeem ur,Muthana, Najat Mohammed,Raza, Mohd Arif Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.2
Let R be a 2-torsion free prime ring with center Z, U be the Utumi quotient ring, Q be the Martindale quotient ring of R, d be a derivation of R and L be a Lie ideal of R. If $d(uv)^n=d(u)^md(v)^l$ or $d(uv)^n=d(v)^ld(u)^m$ for all $u,v{\in}L$, where m, n, l are xed positive integers, then $L{\subseteq}Z$. We also examine the case when R is a semiprime ring. Finally, as an application we apply our result to the continuous derivations on non-commutative Banach algebras. This result simultaneously generalizes a number of results in the literature.
UPHILL ZAGREB INDICES OF SOME GRAPH OPERATIONS FOR CERTAIN GRAPHS
SALEH, ANWAR,BAZHEAR, SARA,MUTHANA, NAJAT The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
The topological indices are numerical parameters which determined the biological, physical and chemical properties based on the structure of the chemical compounds. One of the recently topological indices is the uphill Zagreb indices. In this paper, the formulae of some uphill Zagreb indices for a few graph operations of some graphs have been derived. Furthermore, the precise formulae of those indices for the honeycomb network have been found along with their graphical profiles.
Comparison of the Lee and homogenous weights over a family of chain rings
Adel Alahmadi,Ahmad Alkenani,Rahmah Alomari,Najat Muthana,Patrick Sole,Bahattin Yildiz 대한수학회 2018 대한수학회보 Vol.55 No.2
We compare the Lee and homogenous weights over the chain ring $S_{q,m}=\F_q[u]/(u^m)$ by computing the minimum distance of random codes for small values of $n,q,m.$
COMPARISON OF THE LEE AND HOMOGENOUS WEIGHTS OVER A FAMILY OF CHAIN RINGS
Alahmadi, Adel,Alkenani, Ahmad,Alomari, Rahmah,Muthana, Najat,Sole, Patrick,Yildiz, Bahattin Korean Mathematical Society 2018 대한수학회보 Vol.55 No.2
We compare the Lee and homogenous weights over the chain ring $S_{q,m}={\mathbb{F}}_q[u]/(u^m)$ by computing the minimum distance of random codes for small values of n, q, m.