Results 81 to 90 of about 1,689,750 (280)

The hitchhiker guide to Categorical Banach space theory. Part II.

Extracta Mathematicae, 2021
What has category theory to offer to Banach spacers? In this second part survey-like paper we will focus on very much needed advanced categorical and homological elements, such as Kan extensions, derived category and derived functor or Abelian hearts of ...
Jesús Castillo
doaj  

On the generalization of torsion functor and P-semiprime modules over noncommutative rings [PDF]

Journal of Hyperstructures
Let R be an associative Noetherian unital noncommutative ring R. We introduce the functor PΓP over the category of R-modules and use it to characterize P-semiprime. P-semisecond R-modules also characterized by the functor PΛP.
Teklemichael Bihonegn, Tilahun Abebaw, Nega Arega   +2 more
doaj   +1 more source

Objective triangle functors

, 2014
An (additive) functor F from an additive category A to an additive category B is said to be objective, provided any morphism f in A with F(f) = 0 factors through an object K with F(K) = 0.
Ringel, Claus Michael, Zhang, Pu
core   +1 more source

Promonoidal functor categories [PDF]

Journal of the Australian Mathematical Society, 1977
AbstractIn this article a completion process for promonoidal categories is used to determine a sufficient condition for the existence of a promonoidal convolution structure on the category of functors between two promonoidal categories. This, in turn, leads to a partial closed structure on the 2-category of promonoidal categories, promonoidal functors,
openaire   +2 more sources

On the local Kan structure and differentiation of simplicial manifolds

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in [8] to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids.
Florian Dorsch
wiley   +1 more source

Underlying functors on fibered manifolds

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
For a product preserving bundle functor on the category of fibered manifolds we describe subordinated functors and we introduce the concept of the underlying functor. We also show that there is an affine bundle structure on product preserving functors on
Miroslav Doupovec
doaj  

Adjoint exactness [PDF]

, 2008
Plato's ideas and Aristotle's real types from the classical age, Nominalism and Realism of the mediaeval period and Whitehead's modern view of the world as pro- cess all come together in the formal representation by category theory of exactness in ...
Heather, Michael, Rossiter, Nick
core  

Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley   +1 more source

The category of simple graphs is coreflective in the comma category of\n groups under the free group functor [PDF]

, 2021
Christian Frank
openalex   +1 more source

Serre Functors and Graded Categories

Algebras and Representation Theory, 2022
AbstractWe study Serre structures on categories enriched in pivotal monoidal categories, and apply this to study Serre structures on two types of graded k-linear categories: categories with group actions and categories with graded hom spaces. We check that Serre structures are preserved by taking orbit categories and skew group categories, and describe
openaire   +5 more sources