Research ArticleOpen accessEvery word in the titleOn Numerical Ranges of Nilpotent Elements of C*-AlgebraA. Abdollahi, M. T. Heydari, M. MoosaviProblem statement: Let A be a C*-algebra with unit 1. For each a∈A, let V(a), v(a) v0(a) and denote its numerical range, numerical radius and the distance from the origin to the boundary of its numerical range, respectively. Approach: If a is a nilpotent element of A with the power of nilpotency n, i.e., an = 0 and v(a) = … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,440 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNearly Partial Derivations on Banach Ternary AlgebrasM. Eshaghi, M. B. Savadkouhi, M. Bidkham et al.Problem statement: In this study, we introduce the concept of a partial ternary derivation from A1 ×···× An into B, where A1, A2···, An and B are ternary algebras. Conclusion/Recommendations: We prove the generalized Hyers-Ulam stability of partial ternary derivations in Banach ternary algebras. …Journal of Computer Science, Vol. 6, Issue 4 · 31 Dec 2010 · 7,064 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Cryptosystem Using the Concepts of Algebraic Geometric CodeK. V. Pramod, C. ManjuProblem statement: Cryptosystem using linear codes was developed in 1978 by Mc-Eliece. Later in 1985 Niederreiter and others developed a modified version of cryptosystem using concepts of linear codes. But these systems were not used frequently because of its larger key size. In this study we were designing a cryptosystem using the concepts of algebraic geometric codes with smaller key … …Journal of Computer Science, Vol. 6, Issue 3 · 31 Mar 2010 · 7,446 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAn Approach for Developing Uncertain Multi-perspective Expert System Using the Algebraic Sum MethodMusbah J. AqelA multi-perspective expert system approach based on algebraic sum method was developed to deal with uncertain knowledge and provides different perspectives for different experts while dealing with single knowledge base according to experts' interests. However, assertion value for each perspective is calculated and by using the algebraic summation method a conclusion can be determined. …American Journal of Applied Sciences, Vol. 3, Issue 2 · 28 Feb 2006 · 6,739 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleCircular Rydberg States of Lithium Atoms or Lithium-Like Ions in a High-Frequency Laser Field: The Break of the Algebraic SymmetryNikolay Kryukov, Eugene OksBeletsky, V. V. (2001). Essays on the Motion of Celestial Bodies (1st ed.). Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8360-3 Bethe, H. A., & Salpeter, E. E. (1957). Quantum Mechanics of One- and Two-Electron Atoms (1st ed.). Springer Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12869-5 Kapitza, P. L. (1951a). A pendulum with oscillating suspension. Uspekhi Fizicheskikh Nauk, 44(1), 7–20. Kapitza, P. L. (1951b). Dynamic stability of a pendulum … …Physics International, Vol. 13, Issue 1 · 5 Mar 2022 · 7,164 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleRETRACTED: On Algebra and TachyonsM. Sivasubramanian, S. KalimuthuAt the request of the Editor-in-Chief, the Journal of Mathematics and Statistics has decided to retract the manuscript titled "On Algebra and Tachyons" authored by M. Sivasubramanian and S. Kalimuthu, published in Volume 5, Issue 2 with the page numbering 88-89. The authors have falsified findings and the article contains unsubstantiated claims and was accepted because of an administrative error. … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Jun 2009 · 7,242 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleWeyl’s Theorem for Algebraically Class A(s, t) OperatorsD. Senthilkumar, D. KiruthikaIn this study, we show that Weyl’s theorem holds for algebraically class A (s, t) operator acting on Hilbert space. We prove: (i) Weyl’s theorem holds for f (T) for every f belongs to holomorphic function of spectrum of T; (ii) generalized Weyl’s theorem holds for T; (iii) the spectral mapping theorem holds for the Weyl spectrum of T and … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 13 Feb 2012 · 6,996 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Algebraic K-Theory of Finitely Generated Projective Supermodules P(R) Over a Supercommutative Super-Ring RAmeer JaberProblem statement: Algebraic K-theory of projective modules over commutative rings were introduced by Bass and central simple superalgebras, supercommutative super-rings were introduced by many researchers such as Knus, Racine and Zelmanov. In this research, we classified the projective supermodules over (torsion free) supercommutative super-rings and through out this study we forced our selves to generalize the algebraic K-theory of projective … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,172 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOne Algebra of New Generalized FunctionsSabra RamadanThe space of new Generalized functions ζ (Π(R)) has been constructed. The operation of associative multiplication Θ has been defined on ζ (Π(R)).The embedding Jπ : ζ(S(R))→ ζ( (R)) has been constructed. …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 7,121 accessesView PDFCite