Results 51 to 60 of about 1,200,355 (273)
On r-Noncommuting Graph of Finite Rings
Axioms, 2021 Let R be a finite ring and r∈R. The r-noncommuting graph of R, denoted by ΓRr, is a simple undirected graph whose vertex set is R and two vertices x and y are adjacent if and only if [x,y]≠r and [x,y]≠−r.
Rajat Kanti Nath +3 more
doaj +1 more source
Noncommutative motives of Azumaya algebras [PDF]
, 2013 Let k be a base commutative ring, R a commutative ring of coefficients, X a quasi-compact quasi-separated k-scheme, A a sheaf of Azumaya algebras over X of rank r, and Hmo(R) the category of noncommutative motives with R-coefficients.
Bergh, Michel Van den, Tabuada, Goncalo
core +1 more source
Maps from Feigin and Odesskii's elliptic algebras to twisted homogeneous coordinate rings
Forum of Mathematics, Sigma, 2021 The elliptic algebras in the title are connected graded $\mathbb {C}$-algebras, denoted $Q_{n,k}(E,\tau )$, depending on a pair of relatively prime integers $n>k\ge 1$, an elliptic curve E and a point $\tau \in E$.
Alex Chirvasitu +2 more
doaj +1 more source
Scattering of Noncommutative Solitons in 2+1 Dimensions [PDF]
, 2001 Interactions of noncommutative solitons in a modified U(n) sigma model in 2+1 dimensions can be analyzed exactly. Using an extension of the dressing method, we construct explicit time-dependent solutions of its noncommutative field equation by ...
Alexander D. Popov +20 more
core +2 more sources
Some Interfaces between Noncommutative Ring Theory and Operator Algebras
Irish Mathematical Society Bulletin, 2003 In this talk, I will present a unified approach to several constructions in operator algebras that are related to the algebraic theory of rings of quotients, thus showing deep relations between algebraic and analytic concepts. These constructions include
Pere Ara Bertran
semanticscholar +1 more source
On semihereditary noncommutative polynomial rings [PDF]
Proceedings of the American Mathematical Society, 1980 McCarthy [4] showed that a polynomial ring over a commutative von Neumann regular ring is semihereditary. Camillo [1] proved the converse. In this paper we examine polynomial rings over von Neumann regular rings which are not necessarily commutative.
openaire +2 more sources
Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Noncommutative tensor triangular geometry [PDF]
American Journal of Mathematics, 2019 :We develop a general noncommutative version of Balmer's tensor triangular geometry that is applicable to arbitrary monoidal triangulated categories (M$\Delta$Cs). Insight from noncommutative ring theory is used to obtain a framework for prime, semiprime,
D. Nakano, Kent B. Vashaw, M. Yakimov
semanticscholar +1 more source
Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups
Journal of Mathematics, Volume 2026, Issue 1, 2026.Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi +5 more
wiley +1 more source
Finite homomorphic images of Bezout duo-domains
Karpatsʹkì Matematičnì Publìkacìï, 2014 It is proved that for a quasi-duo Bezout ring of stable range 1 the duo-ring condition is equivalent to being an elementary divisor ring. As an application of this result a couple of useful properties are obtained for finite homomorphic images of Bezout ...
O.S. Sorokin
doaj +1 more source