منابع مشابه
The Hecke Bicategory
We present an application of the program of groupoidification leading up to a sketch of a categorification of the Hecke algebroid—the category of permutation representations of a finite group. As an immediate consequence, we obtain a categorification of the Hecke algebra. We suggest an explicit connection to new higher isomorphisms arising from incidence geometries, which are solutions of the Z...
متن کاملThe Bicategory of Corings
To a B-coring and a (B, A)-bimodule that is finitely generated and projective as a right A-module an A-coring is associated. This new coring is termed a base ring extension of a coring by a module. We study how the properties of a bimodule such as separability and the Frobenius properties are reflected in the induced base ring extension coring. Any bimodule that is finitely generated and projec...
متن کاملThe Burnside Bicategory of Groupoids
Morphisms from H to G in the Burnside category of groups are provided by sets with commuting right and left actions of H and G, which are free and finite over G. We extend this construction to groupoids by considering a G-action on a set X as a homomorphism G → Aut(X). This has an alternative expression in terms of “bi-actions,” a variant of the discrete version of a topological construction wh...
متن کاملThe Bicategory of m-regular Involutive Quantales
Recently the theory of Morita equivalence for involutive quantales and the notion of the interior tensor products of Hilbert modules over involutive quantales evolved considerably (see e.g. Paseka, 2002 and Paseka, 2001). The present paper is an attempt to put a part of this theory in a broader context of the bicategory of m-regular involutive quantales. For facts concerning quantales in genera...
متن کاملThe Cartesian Closed Bicategory of Generalised Species of Structures
The concept of generalised species of structures between small categories and, correspondingly, that of generalised analytic functor between presheaf categories are introduced. An operation of substitution for generalised species, which is the counterpart to the composition of generalised analytic functors, is also put forward. These definitions encompass most notions of combinatorial species c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Axioms
سال: 2012
ISSN: 2075-1680
DOI: 10.3390/axioms1030291