Results 51 to 60 of about 286 (77)

Projective Modules and Polynomials over the Hurwitz Quaternions

Mathematics
A theorem of Sheshadri (Proc. Nat. Acad. Sci. USA 44 (1958) 456–458) shows that, when Λ is a commutative principal ideal domain, finitely generated projective modules over the polynomial ring Λ[t] are all free. The ring Γ of Hurwitz quaternions, that is,
F. Johnson
semanticscholar   +1 more source

Hurwitz Split Quaternions

Mathematical methods in the applied sciences
In this work, we introduce the set of Hurwitz split quaternions, ℋℙℤ$$ \mathscr{H}{\mathbb{P}}_{\mathbb{Z}} $$ , which is an extension of the split quaternions over the integers, ℙℤ$$ {\mathbb{P}}_{\mathbb{Z}} $$ .
Neslihan Ayşen Özbay
semanticscholar   +1 more source

Some results on triangular coefficient matrix rings

Contributions to Mathematics
In this paper, we introduce the concept of a {\it triangular coefficient matrix ring} and investigate the structure of its ideals. We then characterize the radicals of the ring \( R_{h}[x]/\langle x^{n} \rangle \) for every positive integer \( n ...
P. Danchev, Gholamreza Karamali, Hessam Hosseinnezhad, Omis Hasanzadeh   +3 more
semanticscholar   +1 more source

One-Shot Fiat-Shamir-Based NIZK Arguments of Composite Residuosity and Logarithmic-Size Ring Signatures in the Standard Model

International Conference on the Theory and Application of Cryptographic Techniques, 2022
Benoît Libert, Khoa Nguyen, Thomas Peters, M. Yung   +3 more
semanticscholar   +1 more source

AN ANNIHILATOR CONDITION ON MAXIMAL IDEALS OF COMPOSITE HURWITZ RINGS

, 2020
Dong Kyu Kim, Lim， Jung Wook
semanticscholar   +1 more source

Irreducibility of Hurwitz polynomials over the ring of integers

, 2019
D. Y. Oh, Y. Seo
semanticscholar   +1 more source

The circuit complexity of checking polynomiality for functions over residue ring modulo a composite number is linear

Moscow University Computational Mathematics and Cybernetics, 2013
S. Selezneva
semanticscholar   +1 more source

Integer-Valued Polynomials on the Hurwitz Ring of Integral Quaternions

, 2012
K. Johnson, M. Pavlovski
semanticscholar   +1 more source

Aeroelastic Stability of a Cylindrical Composite Shell at a Bilateral Flow

Mechanics of composite materials, 2018
V. Bakulin, M. A. Bokov, A. Y. Nedbai
semanticscholar   +1 more source

Algebraic necessary and sufficient conditions for the very strict Hurwitz property of a 2-D polynomial

Multidimensional Systems and Signal Processing, 1991
P Agathoklis, E I Jury, Mansour M
exaly