Results 21 to 30 of about 888,172 (204)

Corings with exact rational functors and injective objects [PDF]

open access: green, 2007
We describe how some aspects of abstract localization on module categories have applications to the study of injective comodules over some special types of corings. We specialize the general results to the case of Doi-Koppinen modules, generalizing previous results in this setting.
Laiachi El Kaoutit   +1 more
openalex   +3 more sources

Exactness of a rank one quantum induction functor

open access: bronzeMATHEMATICA SCANDINAVICA, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jens Jensen
openalex   +4 more sources

Left-exact Mittag-Leffler functors of modules [PDF]

open access: green, 2017
Let $R$ be an associative ring with unit. This paper deals with various aspects of the category of functors of $\mathcal R$-modules; that is, the category of additive and covariant functors from the category of R-modules to the category of abelian groups. We give several characterizations of left-exact Mittag-Leffler functors of $\mathcal R$-modules.
Adrián Gordillo-Merino   +2 more
openalex   +3 more sources

Half-exact coherent functors over Dedekind domains

open access: greenJournal of Algebra and Its Applications, 2018
Let [Formula: see text] be a principal ideal domain (PID) or more generally a Dedekind domain and let [Formula: see text] be a coherent functor from the category of finitely generated [Formula: see text]-modules to itself. We classify the half-exact coherent functors [Formula: see text].
Adson Banda
openalex   +5 more sources

$\otimes$-Frobenius functors and exact module categories [PDF]

open access: green
We call a tensor functor $F:\mathcal{C}\rightarrow\mathcal{D}$ between finite tensor categories $\otimes$-Frobenius if the left and right adjoints of $F$ are isomorphic as $\mathcal{C}$-bimodule functors. We provide various characterizations of $\otimes$-Frobenius functors such as the unimodularity of the centralizer $\mathcal{Z}({}_F\mathcal{D}_F ...
David Jaklitsch, Harshit Yadav
openalex   +3 more sources

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