Results 81 to 90 of about 837 (183)
Moscow Mathematical Journal, 2011 For a finite group $G$, the so-called $G$-Mackey functors form an abelian category $M(G)$ that has many applications in the study of $G$-equivariant stable homotopy. One would expect that the derived category $D(M(G))$ would be similarly important as the "homological" counterpart of the $G$-equivariant stable homotopy category.
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Sliding Functor and Polarization Functor for Multigraded Modules [PDF]
Communications in Algebra, 2012 We define "sliding functors", which are exact endofunctors of the category of multi-graded modules over a polynomial ring. They preserve several invariants of modules, especially the (usual) depth and Stanley depth. In a similar way, we can also define the "polarization functor".
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On monomorphic topological functors with finite supports
Karpatsʹkì Matematičnì Publìkacìï, 2012 We prove that a monomorphic functor $F:CompoComp$ with finite supports isepimorphic, continuous,and its maximal $emptyset$-modification $F^circ$ preserves intersections.
Banakh T. O. +2 more
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International Journal of Mathematics and Mathematical Sciences, 2002 We develop some basic functorial techniques for the study of the categories of comodules over corings. In particular, we prove that the induction functor stemming from every morphism of corings has a left adjoint, called ad-induction functor.
J. Gómez-Torrecillas
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Communications in Algebra, 2003 We prove that the description of cubic functors is a wild problem in the sense of the representation theory. On the contrary, we describe several special classes of such functors (2-divisible, weakly alternative, vector spaces and torsion free ones). We also prove that cubic functors can be defined locally and obtain corollaries about their projective ...
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Graded character rings, Mackey functors and Tambara functors [PDF]
, 2018 Let $G$ be a finite group and $\mathbb{K}$ a field of characteristic zero. the ring $R_\mathbb{K}(G)$ of virtual characters of $G$ over $\mathbb{K}$ is naturally endowed with a so-called Grothendieck filtration, with associated graded ring $R^*_\mathbb{K}(G)$. Restriction of representations to any $H\leq G$ induces a homomorphism $R^*_\mathbb{K}(G) \to
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Adjoints, wrapping, and morphisms at infinity
Comptes Rendus. MathématiqueFor a localization of a smooth proper category along a subcategory preserved by the Serre functor, we show that morphisms in Efimov’s algebraizable categorical formal punctured neighborhood of infinity can be computed using the natural cone between right
Kuwagaki, Tatsuki, Shende, Vivek
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