Grothendieck enriched categories

Y Imamura - Applied Categorical Structures, 2022 - Springer
… an application of the main results, we see that the dg category of … Grothendieck category
enriched over \(\mathcal {V}\), where \(\mathcal {V}\) is taken from a class of monoidal categories

Quillen equivalences inducing Grothendieck duality for unbounded chain complexes of sheaves

S Estrada, J Gillespie - arXiv preprint arXiv:2104.10783, 2021 - arxiv.org
… the class of all complexes of injective sheaves, that is, complexes that are degreewise
injective. We then let Wco denote the class … of Baer’s criterion to Grothendieck categories [Sten75, …

Flat relative Mittag-Leffler modules and approximations

A Ben Yassine - 2024 - dspace.cuni.cz
… Approximation theory traces its origins back to Reinhold Baer’s … are examples of Grothendieck
categories, but they are not … By a classic theorem of Kaplansky, each projective module is …

[图书][B] Ring Theory 2019-Proceedings Of The Eighth China-japan-korea International Symposium On Ring Theory

H Asashiba, S Kawata, N Ding, NK Kim - 2021 - books.google.com
… rings and application in hypernormal form for a class of 4-… make the direct sum of complexified
Grothendieck groups ⊕ … In this section, we explain two applications of the higher level …

R-projectivity

K Fuková - 2022 - dspace.cuni.cz
… with the validity of dual version of Baer’s Criterion. It also … The main example of a Grothendieck
category is formed by … of projective modules is the Kaplansky theorem. For a proof we …

-Rickart and dual -Rickart objects in abelian categories

S Crivei, G Olteanu - Journal of Algebra and Its Applications, 2021 - World Scientific
… of our theory to (strongly) π-regular and (strongly) π-Baer … the class of (strongly) π-Rickart
objects of an abelian category … generators) Grothendieck category with enough injectives …

Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories

S Crivei, SM Radu - Communications in Algebra, 2022 - Taylor & Francis
… The study of Baer … study classes all of whose objects are (dual) strongly self-CS-Rickart.
Among other results, for an abelian category A with enough injectives (projectives), and a class

[PDF][PDF] APPROXIMATIONS OF MODULES (LECTURE NOTES FOR NMAG531)

JAN TRLIFAJ - 2023 - karlin.mff.cuni.cz
… For a proof of this generalization of the Kaplansky theorem … 6.1 that follows from the Baer
Criterion for injectivity [2, 18.3]: … class, whenever C is a class of objects in a Grothendieck

[PDF][PDF] On the representation theory of persistence modules

H Krause, JP Lerch - 2023 - scholar.archive.org
… for locally coherent Grothendieck categories and its uses in … It is known that the isomorphism
classes of indecomposable … because for Grothendieck categories the class of subobjects …

Representation of partially ordered sets over Von Neumann regular algebras. More prime, non-primitive regular rings

G Baccella - arXiv preprint arXiv:2312.12194, 2023 - arxiv.org
… we enlarge the class of dimension groups with order unit which … devoted to the computation
of the Grothendieck group of Bℵ,K(I… By 1970 Kaplansky conjectured an affirmative answer in …