Results 111 to 120 of about 1,108,506 (294)
Field Equations and Radial Solutions in a Noncommutative Spherically Symmetric Geometry
We study a noncommutative theory of gravity in the framework of torsional spacetime. This theory is based on a Lagrangian obtained by applying the technique of dimensional reduction of noncommutative gauge theory and that the yielded diffeomorphism ...
Aref Yazdani
doaj +1 more source
Generalised noncommutative geometry on finite groups and Hopf quivers [PDF]
We explore the differential geometry of finite sets where the differential structure is given by a quiver rather than as more usual by a graph. In the finite group case we show that the data for such a differential calculus is described by certain Hopf ...
S. Majid, Wenqing Tao
semanticscholar +1 more source
A Geometric Approach to Noncommutative Principal Torus Bundles
A (smooth) dynamical system with transformation group $\mathbb{T}^n$ is a triple $(A,\mathbb{T}^n,\alpha)$, consisting of a unital locally convex algebra $A$, the $n$-torus $\mathbb{T}^n$ and a group homomorphism $\alpha:\mathbb{T}^n\rightarrow\Aut(A ...
Wagner, Stefan
core +1 more source
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
Geometry of noncommutative algebras [PDF]
Let X be a scheme over an algebraically closed field k, and let x ∈ SpecR ⊆ X be a closed point corresponding to the maximal ideal m ⊆ R. Then OˆX,x is isomorphic to the prorepresenting hull, or local formal moduli, of the deformation functor DefR/m : → Sets. This suffices to reconstruct X up to etal´e coverings.
Eriksen, Eivind, Siqveland, Arvid
openaire +5 more sources
Some special types of determinants in graded skew P BW extensions.
In this paper, we prove that the Nakayama automorphism of a graded skew PBW extension over a finitely presented Koszul Auslanderregular algebra has trivial homological determinant.
Héctor Suárez+2 more
doaj
Significantly super-Chandrasekhar mass-limit of white dwarfs in noncommutative geometry
Chandrasekhar made the startling discovery about nine decades back that the mass of compact object white dwarf has a limiting value, once nuclear fusion reactions stop therein.
Surajit Kalita+2 more
semanticscholar +1 more source
Various Properties of the Quasi‐Regular Graphs Over the Rings Zn
Zeyada, Muthana, and Al Rashidi recently introduced and investigated a quasi‐regular graph of rings. In this paper, we shall examine various aspects of this idea, with particular attention to the finite ring Zn. More precisely, we calculate the independent and domination numbers of QZn.
Nasr Zeyada+5 more
wiley +1 more source
Gravity and electromagnetism in noncommutative geometry [PDF]
We present a unified description of gravity and electromagnetism in the framework of a $Z_2$ noncommutative differential calculus. It can be considered as a ``discrete version" of Kaluza-Klein theory, where the fifth continuous dimension is replaced by two discrete points.
LANDI, GIOVANNI, NGUYEN A. V, K. C. WALI
openaire +4 more sources
Crystals, instantons and quantum toric geometry
We describe the statistical mechanics of a melting crystal in three dimensions and its relation to a diverse range of models arising in combinatorics, algebraic geometry, integrable systems, low-dimensional gauge theories, topological string theory and ...
Szabo, Richard J.
core +1 more source