We introduce a new class of categories generalizing locally presentable ones. The
distinction does not manifest in the abelian case and, assuming Vopenka's principle, the …

We introduce and describe the 2-category Grt♭ of Grothendieck categories and flat
morphisms between them. First, we show that the tensor product of locally presentable linear …

We study and relate categories of modules, comodules and contramodules over a
representation of a small category taking values in (co) algebras, in a manner similar to …

We prove that the exactness of direct limits in an abelian category with products and an
injective cogenerator J is equivalent to a condition on J which is well-known to characterize …

We endow the homotopy category of well generated (pretriangulated) dg categories with a
tensor product satisfying a universal property. The resulting monoidal structure is symmetric …

We construct the semi-infinite tensor structure on the semiderived category of quasi-
coherent torsion sheaves on an ind-scheme endowed with a flat affine morphism into an ind …

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In this paper, we use the language of monads, comonads and Eilenberg-Moore categories
to describe a categorical framework for $ A_\infty $-algebras and $ A_\infty $-coalgebras, as …

0.0 What Is This Book About? The aim of this book is to extend the semiinfinite homological
algebra, as developed in the author's monograph [43], to the realm of algebraic geometry …

Di Liberti, Ivan ; Ramos González, Julia Exponentiable Grothendieck categories in flat algebraic
geometry. (English) £ ¢ ¡ Page 1 Di Liberti, Ivan; Ramos González, Julia Exponentiable …