Results 71 to 80 of about 122,808 (179)

Some Remarks Regarding Special Elements in Algebras Obtained by the Cayley–Dickson Process over Z_p

Axioms
In this paper, we provide some properties of k-potent elements in algebras obtained by the Cayley–Dickson process over Zp. Moreover, we find a structure of nonunitary ring over Fibonacci quaternions over Z3 and we present a method to encrypt plain texts,
Cristina Flaut, Andreea Baias
doaj   +1 more source

Quaternionic and Octonionic Frameworks for Quantum Computation: Mathematical Structures, Models, and Fundamental Limitations

Quantum Reports
We develop detailed quaternionic and octonionic frameworks for quantum computation grounded on normed division algebras. Our central result is to prove the polynomial computational equivalence of quaternionic and complex quantum models: Computation over ...
Johan Heriberto Rúa Muñoz, Jorge Eduardo Mahecha Gómez, Santiago Pineda Montoya   +2 more
doaj   +1 more source

Quaternion Algebras

In this dissertation, we present an analysis of quaternion algebras. We provide a concise overview of the classical theory of quaternion algebras, and move on to study of quaternion algebras along with an additional differential structure.
Bansal, Swati
core  

Quaternion algebras and clifford algebras

, 1999
이 논문에서 우리는 가환체에 대한 4원수 대수들과 a graded algebra를 공부하고 quaternion algebras이 Brauer 군에서 위수가 2인 원소와 대응함을 증명한다. 우리는 1차와 마찬가지로 n차에 대응하는 Clifford algebras의 구조를 결정함으로써 정규 이차 공간의 Clifford algebra와 Brauer 군의 원소를 연관시킬 수 있다. 우리는 1장의 결과를 타원곡선들의 자기준동형환에 적용하여 [3]의 몇 연습
최희선
core   +1 more source

An Optimal Linear Fusion Estimation Algorithm of Reduced Dimension for T-Proper Systems with Multiple Packet Dropouts. [PDF]

Sensors (Basel), 2023
Fernández-Alcalá RM, Jiménez-López JD, Le Bihan N, Cheong Took C.   +3 more
europepmc   +1 more source

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

J Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

The Study Variety of Conformal Kinematics. [PDF]

Adv Appl Clifford Algebr, 2022
Kalkan B, Li Z, Schröcker HP, Siegele J.   +3 more
europepmc   +1 more source

K2 of quaternion algebras

Journal of Algebra, 1979
Alperin, R.C, Dennis, R.Keith
openaire   +2 more sources

Külshammer ideals of algebras of quaternion type

, 2018
For a symmetric algebra [Formula: see text] over a field [Formula: see text] of characteristic [Formula: see text] Külshammer constructed a descending sequence of ideals of the center of [Formula: see text].
Alexander Zimmermann
core   +1 more source

\({\mathbb{T}}\)-Proper Hypercomplex Centralized Fusion Estimation for Randomly Multiple Sensor Delays Systems with Correlated Noises. [PDF]

Sensors (Basel), 2021
Fernández-Alcalá RM, Navarro-Moreno J, Ruiz-Molina JC.   +2 more
europepmc   +1 more source