A functorial approach to near-rings

1979 ◽  
Vol 34 (1-2) ◽  
pp. 47-57 ◽  
Author(s):  
S. Feigelstock ◽  
A. Klein
Keyword(s):  
Functorial Approach

scholarly journals The twofold way of super holonomy

2016 ◽  
Vol 28 (6) ◽  
Author(s):  
Josua Groeger
Keyword(s):  
Comparison Theorem ◽  
Wilson Loops ◽  
Holonomy Algebra ◽  
Functorial Approach

AbstractThere are two different notions of holonomy in supergeometry, the supergroup introduced by Galaev and our functorial approach motivated by super Wilson loops. Either theory comes with its own version of invariance of vectors and subspaces under holonomy. By our first main result, the Twofold Theorem, these definitions are equivalent. Our proof is based on the Comparison Theorem, our second main result, which characterises Galaev’s holonomy algebra as an algebra of coefficients, building on previous results. As an application, we generalise some of Galaev’s results to

scholarly journals A FUNCTORIAL APPROACH TO THE C*-ALGEBRAS OF A GRAPH

2002 ◽  
Vol 13 (03) ◽  
pp. 245-277 ◽  
Author(s):  
JACK SPIELBERG
Keyword(s):  
Structural Properties ◽  
Inductive Limit ◽  
Directed Graphs ◽  
Graph Algebras ◽  
C Algebras ◽  
Injective Homomorphisms ◽  
Functorial Approach

A functor from the category of directed trees with inclusions to the category of commutative C*-algebras with injective *-homomorphisms is constructed. This is used to define a functor from the category of directed graphs with inclusions to the category of C*-algebras with injective *-homomorphisms. The resulting C*-algebras are identified as Toeplitz graph algebras. Graph algebras are proved to have inductive limit decompositions over any family of subgraphs with union equal to the whole graph. The construction is used to prove various structural properties of graph algebras.

scholarly journals A functorial approach to weak amenability for commutative Banach algebras

1992 ◽  
Vol 34 (2) ◽  
pp. 241-251 ◽  
Author(s):  
Volker Runde
Keyword(s):  
Commutative Algebra ◽  
Banach Algebras ◽  
Linear Mapping ◽  
Linear Operators ◽  
Left Module ◽  
Weak Amenability ◽  
Commutative Banach Algebras ◽  
Image Position ◽  
Functorial Approach

Let A be a commutative algebra, and let M be a bimodule over A. A derivation from A into M is a linear mapping D: A→M that satisfiesIf M is only a left A-module, by a derivation from A into M we mean a linear mapping D: A→M such thatEach A-bimodule M is trivially a left module. However, unless it is commutative, i.e.the two classes of linear operators from A into M characterized by (1) and (2), respectively, need not coincide.

scholarly journals Fusion of interfaces in Landau-Ginzburg models: a functorial approach

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Nicolas Behr ◽  
Stefan Fredenhagen
Keyword(s):  
Topological Defects ◽  
Polynomial Rings ◽  
Two Dimensional ◽  
Minimal Models ◽  
Actual Computation ◽  
Category Of Modules ◽  
Chiral Superfields ◽  
Functorial Approach

Abstract We investigate the fusion of B-type interfaces in two-dimensional supersymmetric Landau-Ginzburg models. In particular, we propose to describe the fusion of an interface in terms of a fusion functor that acts on the category of modules of the underlying polynomial rings of chiral superfields. This uplift of a functor on the category of matrix factorisations simplifies the actual computation of interface fusion. Besides a brief discussion of minimal models, we illustrate the power of this approach in the SU(3)/U(2) Kazama-Suzuki model where we find fusion functors for a set of elementary topological defects from which all rational B-type topological defects can be generated.

Kneading Theory: A Functorial Approach

1999 ◽  
Vol 204 (1) ◽  
pp. 89-114 ◽  
Author(s):  
J. F. Alves ◽  
J. Sousa Ramos
Keyword(s):  
Kneading Theory ◽  
Functorial Approach

scholarly journals A functorial approach to categorical resolutions

2019 ◽  
Vol 63 (10) ◽  
pp. 2005-2016
Author(s):  
Rasool Hafezi ◽  
Mohammad Hossein Keshavarz
Keyword(s):  
Functorial Approach
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