arXiv:1606.09377v4 [math.AG] 13 Feb 2021 Page 1 arXiv:1606.09377v4 [math.AG] 13 Feb
2021 A NOTE ON SPHERICAL FUNCTORS CIARAN MEACHAN Abstract. We provide a new …

Let E be a Frobenius category. Let =E denote its stable category. The shift functor on E
induces, by pointwise application, an inner shift functor on the category of acyclic complexes …

Following the work [B. Deng, J. Du, Frobenius morphisms and representations of algebras,
Trans. Amer. Math. Soc. 358 (2006) 3591–3622], we show that a Frobenius morphism F on …

We introduce a candidate for the inner hom for $ Dbl^{st} _ {lx} $, the category of strict
double categories and lax double functors, and characterize a lax double functor into it …

We show that the abelian category mod-X of coherent functors over a contravariantly finite
rigid subcategory X in a triangulated category T is equivalent to the Gabriel–Zisman …

Epimorphisms of additive categories up to direct factors - ScienceDirect Skip to main contentSkip
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Brown representability for triangulated categories with a linear action by a graded ring |
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We study rank functions on a triangulated category 𝒞 via its abelianisation mod⁡ C. We
prove that every rank function on 𝒞 can be interpreted as an additive function on mod⁡ C …

We introduce a general concept of an algebraic category, the (E, M)-algebraic categories (A,
i/) over an (E, M)-category X, ie< 7 is a right adjoint and lifts (E, M)-factorizations uniquely …