Exponential laws for topological categories, groupoids and groups, and mapping spaces of colimits
Exponential mapping for Lie groupoids. Applications
Exponential Objects
In the first part of this article we formalize the concepts of terminal and initial object, categorical product [4] and natural transformation within a free-object category [1]. In particular, we show that this definition of natural transformation is equivalent to the standard definition [13]. Then we introduce the exponential object using its universal property and we show the isomorphism between the exponential object of categories and the functor category [12].
Exponential objects in the construct
Exponentiality in categories of partial algebras.
Ext and von Neumann regular rings
Ext-algebras and derived equivalences
Using derived categories, we develop an alternative approach to defining Koszulness for positively graded algebras where the degree zero part is not necessarily semisimple.
Extending tensor products to structures of closed categories
Extenseurs
Extension categories and their homotopy
Extension functors on the category of -solvable abelian groups
Extension of mixed Hodge modules
Extension of the concept of n-function to categories
Extension of topological homology theories to partially orderd sets.
Extension theories for monoids.
Extensionable topological hulls and topological universe hulls inside the category of pseudotopological spaces
Extensional subobjects in categories of -fuzzy sets
Two categories and of fuzzy sets over an -algebra are investigated. Full subcategories of these categories are introduced consisting of objects , , where is a subset of all extensional subobjects of an object . It is proved that all these subcategories are quasi-reflective subcategories in the corresponding categories.
Extensiones centrales de las álgebras de Leibniz.
Extensions centrales d'algèbres de Lie
Soient un anneau commutatif et une -algèbre associative quelconque. Nous calculons le groupe d’homologie de la -algèbre de Lie des matrices de “trace nulle” sur . Le groupe ainsi déterminé est un groupe d’homologie d’un complexe inspiré d’A. Connes; il est isomorphe à lorsque est commutative. Nous obtenons également des résultats pour un groupe d’homologie relative associé à une surjection de -algèbres. Les démonstrations utilisent la classification des extensions centrales et des...
Extensions de théories de Lawvere. Thèse de doctorat de mathématiques