Results 71 to 80 of about 1,179,667 (236)
Some algebras similar to the 2x2 Jordanian matrix algebras
, 2016 The impetus for this study is the work of Dumas and Rigal on the Jordanian deformation of the ring of coordinate functions on $2\times 2$ matrices. We are also motivated by current interest in birational equivalence of noncommutative rings.
Gaddis, Jason, Price, Kenneth L.
core +1 more source
Sheaves that fail to represent matrix rings [PDF]
, 2014 There are two fundamental obstructions to representing noncommutative rings via sheaves. First, there is no subcanonical coverage on the opposite of the category of rings that includes all covering families in the big Zariski site.
Reyes, Manuel L.
core +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
Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley +1 more source
On the complexity of radicals in noncommutative rings [PDF]
Journal of Algebra, 2009 AbstractThis article expands upon the recent work by Downey et al. (2007) [3], who classified the complexity of the nilradical and Jacobson radical of commutative rings in terms of the arithmetical hierarchy.Let R be a computable (not necessarily commutative) ring with identity.
openaire +1 more source
Determinants as Combinatorial Summation Formulas over an Algebra with a Unique $n$-ary Operation
Известия Иркутского государственного университета: Серия "Математика", 2018 Since the late 1980s the author has published a number of results on matrix functions, which were obtained using the generating functions, mixed discriminants (mixed volumes in $\mathbb R^n$), and the well-known polarization theorem (the most general ...
G.P. Egorychev
doaj +1 more source
Endomorphism rings of finite global dimension [PDF]
, 2004 For a commutative local ring $R$, consider (noncommutative) $R$-algebras $\Lambda$ of the form $\Lambda = End_R(M)$ where $M$ is a reflexive $R$-module with nonzero free direct summand.
Leuschke, Graham J.
core +3 more sources
Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
, 2003 We deform the standard four dimensional $\N=1$ superspace by making the odd coordinates $\theta$ not anticommuting, but satisfying a Clifford algebra. Consistency determines the other commutation relations of the coordinates.
D. Klemm +16 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
A comparison of Hochschild homology in algebraic and smooth settings
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
wiley +1 more source