Results 61 to 70 of about 16,964 (172)

Matematyka i kosmologia

open access: yesZagadnienia Filozoficzne w Nauce, 2012
The mathematical and cosmological works of a group associated with the Copernicus Center for Interdisciplinary Studies in Cracow are summarized. The group consists mainly of M. Heller, L. Pysiak, W. Sasin, Z. Odrzygóźdź and J. Gruszczak.
Michał Heller
doaj  

Noncommutative Gauge Theories: Model for Hodge theory

open access: yes, 2013
The nilpotent BRST, anti-BRST, dual-BRST and anti-dual-BRST symmetry transformations are constructed in the context of noncommutative (NC) 1-form as well as 2-form gauge theories.
Mandal, Bhabani Prasad   +1 more
core   +1 more source

Rigidity of quantum algebras

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley   +1 more source

Conceptual Issues for Noncommutative Gravity on Algebras and Finite Sets

open access: yes, 1999
We discuss some of the issues to be addressed in arriving at a definitive noncommutative Riemannian geometry that generalises conventional geometry both to the quantum domain and to the discrete domain.
Majid, S.
core   +2 more sources

Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink

open access: yesComplexity, Volume 2025, Issue 1, 2025.
Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi   +6 more
wiley   +1 more source

Graded Differential Geometry of Graded Matrix Algebras

open access: yes, 1999
We study the graded derivation-based noncommutative differential geometry of the $Z_2$-graded algebra ${\bf M}(n| m)$ of complex $(n+m)\times(n+m)$-matrices with the ``usual block matrix grading'' (for $n\neq m$).
Dubois-Violette M.   +5 more
core   +2 more sources

Quantum Extensions of Widder’s Formula via q‐Deformed Calculus

open access: yesJournal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this study, we rigorously established q‐Widder’s formula of first and second kind by employing the q‐integral within a quantum calculus framework. Our approach introduces a novel formulation of the inverse q‐Laplace transform, enabling simplified computation without relying on conventional complex integration methods.
S. S. Naina Mohammed   +6 more
wiley   +1 more source

A Unified Approach to Image Recognition and Cryptography via Flexible Weak Inverse Property Quasigroups

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
Nonassociative algebra presents multiple options for comprehending and dealing with difficulties in graph theory, artificial intelligence, and cryptography. Its distinctive traits introduce genuine concepts and procedures not found in conventional associative algebra, yielding to new results from studies and breakthroughs in multiple disciplines ...
Mohammad Mazyad Hazzazi   +5 more
wiley   +1 more source

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