Results 61 to 70 of about 93 (80)

Some new classes of division algebras and potential applications to space-time block coding

In this thesis we study some new classes of nonassociative division algebras. First we introduce a generalisation of both associative cyclic algebras and of Waterhouse's nonassociative quaternions.
Steele, Andrew
core  

Quaternions and Space Rotations

, 2020
Otkriće skupa kvaterniona pripisujemo irskom matematičaru i fizičaru Williamu Rowanu Hamiltonu koji je, motiviran ulogom skupa kompleksnih brojeva u geometriji ravnine, nastojao dobiti algebarsku strukturu koja bi imala sličnu ulogu u geometriji ...
Stehlik, Petra
core  

Functional equations in nonassociative structures and results about additivity of functions

Nesta tese, apresentamos resultados a respeito de equações funcionais e aditividade de funções em várias álgebras, algumas não necessariamente associativas. Descrevemos as funções aditivas f,g:\\mathbbightarrow\\mathbb satisfazendo a identidade f(x)+m(x)
Kawai, Daniel Eiti Nishida
core   +1 more source

New approaches to the octonions and their maximal orders

The associative Cayley-Dickson algebras over the field of real numbers are also Clifford algebras. The alternative but nonassociative real Cayley-Dickson algebras, notably the octonions and split octonions, share with Clifford algebras an involutary anti-
Depies, Connor Matthew
core   +1 more source

Chaos in discrete homogenous quadratic systems in the plane

, 2014
V doktorski disertaciji je obravnavan problem kaotičnosti v diskretnih homogenih kvadratičnih sistemih v ravnini. V uvodnem poglavju je podrobneje opredeljen glavni problem disertacije.
Kutnjak, Milan
core  

Field and Division Algebra Structures on Rn

In this thesis we explore in which finite-dimensional real coordinate spaces a field or more generally a division algebra structure is possible to define.
Remsu, Salla
core  

MIDO space-time codes from associative and nonassociative cyclic algebras

, 2012
Nonassociative division algebras have been recently proposed as an alternative way to design fully-diverse spacetime codes.
S Pumplün, Frédérique Oggier
exaly   +2 more sources

The nonassociative algebras used to build fast-decodable space-time block codes [PDF]

Advances in Mathematics of Communications, 2015
Let K/F and K/L be two cyclic Galois field extensions and D a cyclic algebra. Given an invertible element d in D, we present three families of unital nonassociative algebras defined on the direct sum of n copies of D.
S Pumplün
exaly   +2 more sources

Homotopism of Homological Complexes over Nonassociative Algebras with Metagroup Relations

Mathematics, 2021
Sergey V Ludkowski, Ludkowski Sergey VÍCTOR   +1 more
exaly  

Algebras, hyperalgebras, nonassociative bialgebras and loops

Advances in Mathematics, 2007
JOSÉ M Pérez-Izquierdo
exaly