Natural anadeses and catadeses
Natural deduction and coherence for non-symmetric linearly distributive categories.
Natural dualities between abelian categories
In this paper we consider a pair of right adjoint contravariant functors between abelian categories and describe a family of dualities induced by them.
Natural factorizations and the Kan extension of cohomology theories
Natural sinks on
Let be the large source of epimorphisms in the category of Urysohn spaces constructed in [2]. A sink is called natural, if for all . In this paper natural sinks are characterized. As a result it is shown that permits no -factorization structure for arbitrary (large) sources.
Natural transformations in differential geometry
Natural weak factorization systems
In order to facilitate a natural choice for morphisms created by the (left or right) lifting property as used in the definition of weak factorization systems, the notion of natural weak factorization system in the category is introduced, as a pair (comonad, monad) over . The link with existing notions in terms of morphism classes is given via the respective Eilenberg–Moore categories.
Near reflections
Near-group categories.
Nilpotence, radicaux et structures monoïdales
Non-abelian cohomology of associative algebras. The -term exact sequence
Non-abelian cohomology of groups.
Non-abelian cohomology via parity quasi-complexes.
Non-abelian cohomology with coefficients in crossed bimodules.
Non-abelian tensor and exterior products modulo and universal -central relative extension of Lie algebra.
Non-abelian tensor product of Lie algebras and its derived functors.
Non-commutative differential geometry
Noncommutative Local Algebra.
Noncommutative localisation in algebraic -theory. I.
Noncommutative numerical motives, Tannakian structures, and motivic Galois groups
In this article we further the study of noncommutative numerical motives, initiated in [30, 31]. By exploring the change-of-coefficients mechanism, we start by improving some of the main results of [30]. Then, making use of the notion of Schur-finiteness, we prove that the category NNum of noncommutative numerical motives is (neutral) super-Tannakian. As in the commutative world, NNum is not Tannakian. In order to solve this problem we promote periodic cyclic homology to a well-defined symmetric...