Results 71 to 80 of about 2,699 (160)

Unified Analytic Solution of Polynomial Equations in Non-Commutative C*-Algebraic Closure: A Comprehensive Extension from Clifford Algebras with Complete Mathematical Foundations

open access: yes
This paper presents a comprehensive extension of the differential and algebraic framework for solving polynomial equations from Clifford algebras to the more general setting of non-commutative C* algebras. We systematically address the fundamental challenges posed by non-commutativity and infinite dimensional structure through the rigorous introduction
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Unified Analytic Solution of Polynomial Equations in Non-Commutative Weyl Algebraic Closure: A Comprehensive Treatment with Complete Mathematical Foundations

open access: yes
This paper presents a comprehensive extension of the differential and algebraic framework for solving polynomial equations to the setting of non-commutative Weyl algebras. We directly confront the fundamental obstacles posed by non-commutativity through the introduction of a rigorously defined Weyl-ordering operator PW that projects onto the symmetric ...
openaire   +1 more source

Topics in orbifold geometry and Gorenstein homogeneous spaces [PDF]

open access: yes
I study two problems from different domains. The first problem is related to orbifold geometry and the second to Gorenstein homogeneous spaces. Though two different topics, they share a common theme: the Gorenstein property.
Hayat, Umar, (Researcher in mathematics)
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Unified Analytic Solution of Polynomial Equations in Non-Commutative Von Neumann Algebraic Closure: A Comprehensive Treatment with Complete Mathematical Foundations

open access: yes
This paper presents a comprehensive extension of the differential and vector algebraic framework for solving polynomial equations to the setting of non-commutative von Neumann algebras. We directly confront the fundamental obstacles posed by noncommutativity and infinite-dimensionality through the introduction of a rigorously defined trace-path ...
openaire   +1 more source

The representation ring of the structure group of the relative Frobenius morphism [PDF]

open access: yes, 2010
Severitt M. The representation ring of the structure group of the relative Frobenius morphism.
Severitt, Markus
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Non-Commutative Analysis on Quantum Spaces [PDF]

open access: yes, 2004
Tools like a generalized *-product, a Leibniz rule and an integration needed for Analysis on Quantum Spaces such as n-dimensional q-deformed Euclidean space are ...
Jambor, Claudia
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The connective K theory of semidihedral groups [PDF]

open access: yes, 2010
The real connective K-homology of finite groups ko¤(BG), plays a big role in the Gromov-Lawson-Rosenberg (GLR) conjecture. In order to compute them, we can calculate complex connective K-cohomology, ku¤(BG), first and then follow by computing complex ...
Rodtes, Kijti
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Studies on the number theory of orders [PDF]

open access: yes, 1982
Bibliography: pages 78-81.In the nineteenth century no distinction was drawn between maximal and nonmaximal orders in a numberfield. Most of the work on orders in this period was done by Dedekind and Kronecker.
Omar, Mohammed Rafiq
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