Results 41 to 50 of about 7,137 (147)
Deconstructibility and the Hill lemma in Grothendieck categories
, 2011 A full subcategory of a Grothendieck category is called deconstructible if it consists of all transfinite extensions of some set of objects. This concept provides a handy framework for structure theory and construction of approximations for subcategories
Enochs E. E. +3 more
core +1 more source
On reflective subcategories of locally presentable categories
Theory and Applications of Categories, 2015 Are all subcategories of locally finitely presentable categories that are closed under limits and $ $-filtered colimits also locally presentable? For full subcategories the answer is affirmative. Makkai and Pitts proved that in the case $ =\aleph_0$ the answer is affirmative also for all iso-full subcategories, \emph{i.\thinspace e.}, those ...
Adámek, J., Rosický, J.
openaire +3 more sources
Gabriel-Ulmer duality for topoi and its relation with site presentations
, 2019 Let $\kappa$ be a regular cardinal. We study Gabriel-Ulmer duality when one restricts the 2-category of locally $\kappa$-presentable categories with $\kappa$-accessible right adjoints to its locally full sub-2-category of $\kappa$-presentable ...
Di Liberti, Ivan, González, Julia Ramos
core
Algebraic lattices and locally finitely presentable categories [PDF]
Algebra universalis, 2011 Lattices of subobjects and lattices of quotients are ubiquitous in universal algebra and their basic property is that they are algebraic. The author extends this fact from varieties of universal algebras to locally finitely presentable categories.
openaire +1 more source
Functors on locally finitely presented additive categories [PDF]
Colloquium Mathematicum, 1998 Functors on locally presented additive categories play a very important role in the general module theory as well as in the representation theory of Artin algebras. An enormous amount of information on this basic area of module categories requires a necessity of a clear, easily understandable, relatively short expository work.
openaire +1 more source
A necessary and sufficient condition for induced model structures
, 2017 A common technique for producing a new model category structure is to lift the fibrations and weak equivalences of an existing model structure along a right adjoint.
Hess, Kathryn +3 more
core +1 more source
Class-locally presentable and class-accessible categories
Journal of Pure and Applied Algebra, 2012 In this paper the authors consider generalisations of accessibility and local presentability for categories. A category is accessible if it has a completeness property and if every object is a colimit in a suitable way of a set of suitable objects. For class-accessibility one allows a proper class of objects rather than a set.
Chorny, B., Rosický, J.
openaire +1 more source
$C^*$-algebraic drawings of dendroidal sets
, 2019 In recent years the theory of dendroidal sets has emerged as an important framework for higher algebra. In this article we introduce the concept of a $C^*$-algebraic drawing of a dendroidal set. It depicts a dendroidal set as an object in the category of
Mahanta, Snigdhayan
core +1 more source
Coderived and contraderived categories of locally presentable abelian DG-categories
Mathematische ZeitschriftAbstractThe concept of an abelian DG-category, introduced by the first-named author in Positselski (Exact DG-categories and fully faithful triangulated inclusion functors. arXiv:2110.08237 [math.CT]), unites the notions of abelian categories and (curved) DG-modules in a common framework.
Positselski, L. (Leonid) +1 more
openaire +3 more sources
Locally class-presentable and class-accessible categories
, 2011 We generalize the concepts of locally presentable and accessible categories. Our framework includes such categories as small presheaves over large categories and ind-categories. This generalization is intended for applications in the abstract homotopy theory.
Chorny, Boris, Rosicky, Jiri
openaire +2 more sources