Derived functors of Hom relative to flat covers

ST Aldrich, EE Enochs… - Mathematische …, 2002 - Wiley Online Library
… recall that the dual notions to F–precovers and covers are F–preenvelopes and envelopes.
categories and complete cotorsion theories (see Salce [10] or [4], 7.4) with respect to some

The flat model structure on 𝐂𝐡 (𝐑)

J Gillespie - Transactions of the American Mathematical Society, 2004 - ams.org
… has a flat cover, injective envelope, dg-flat cover, and dg-cotorsion envelope. Lastly, in …
above Hom functor make Ch(R) a closed symmetric monoidal category. In fact, we have the …

[HTML][HTML] A functorial approach to rank functions on triangulated categories

T Conde, M Gorsky, F Marks… - Journal für die reine und …, 2024 - degruyter.com
case C = T c for a compactly generated triangulated category 𝒯, … paper is that of functor
categories. Functorial methods have … and cocomplete, has injective envelopes and exact filtered …

Synthetic spectra and the cellular motivic category

P Pstrągowski - Inventiones mathematicae, 2023 - Springer
… We describe a symmetric monoidal functor from the \(\infty \)-category of cellular motivic …
motivic category should be related to synthetic spectra; we show this is indeed the case in the …

Pure-injectivity in the category of flat modules

PAG Asensio, I Herzog - Contemporary Mathematics, 2006 - books.google.com
Cover Conjecture gives as a byproduct the existence of pure-injective envelopes in finitely
accessible additive categories… additive functor B: C→ Ab is finitely generated if B= Ba for some

On categories with effective unions

M Barr - Categorical Algebra and its Applications: Proceedings …, 2006 - Springer
… is satisfied by both abelian categories and toposes and which … injective envelopes and the
left exactness of certain functors. … sheaf functor as a special case of reflectors for certain kinds

Classification of consistent systems of handlebody group representations

L Müller, L Woike - International Mathematics Research Notices, 2024 - academic.oup.com
… This somewhat pragmatic reason explains partly the focus on ansular functors in this paper,
envelope because the word “derived” might create confusion in the category-valued case. In …

Deligne Categories and the Limit of Categories Rep(GL(m|n))

I Entova-Aizenbud, V Hinich… - International …, 2020 - academic.oup.com
envelope”; for special (ie, integral) values of |$t$|⁠, one should not expect to find a universal
SM functor from |$\mathcal{D}_t$| to a tensor category |… on Schur functors is void in this case)…

Adjunction of semifunctors: categorical structures in nonextensional lambda calculus

S Hayashi - Theoretical computer science, 1985 - Elsevier
any semiadjunction is embeddable in an adjunction (of functors) and Scott embedding is
a special case… Let A be a category whose Karoubi envelope .4 is a ccc. Then there is a …

The structure of Mackey functors

J Thévenaz, P Webb - Transactions of the American Mathematical Society, 1995 - JSTOR
… objects in the category MackR(G) of Mackey functors over R. In a certain sense they … , but
our result shows that this is not the case. We consider the question of when the Mackey algebra …