Results 91 to 100 of about 888,172 (204)

Exact embedding functors between categories of modules

open access: yesJournal of Pure and Applied Algebra, 1982
AbstractFor any rings R and S with 1, it is showed that the following conditions are equivalent: 1.(a) There exists an exact embedding functor R-Mod→S-Mod.2.(b) All diagram-chasing properties of finite commutative diagrams that are satisfied in S-Mod are also satisfied in R-Mod.3.(c) Each lattice L which is embeddable in the lattice of submodules of ...
openaire   +1 more source

THE HOMOLOGY OF SPACES REPRESENTING EXACT PAIRS OF HOMOTOPY FUNCTORS

open access: yesTopology, 1999
The main result of the article (Theorem 3.5) asserts the following. Let \({\mathcal R}\) be a representable graded ring valued homotopy functor and let \({\mathcal M}\) be a representable graded \({\mathcal R}\) module functor. Assume that the ring and the module functors \({\mathcal R}\) and \({\mathcal M}\) are exact; that is, \({\mathcal M}(X ...
Hunton, JR, Turner, PR
openaire   +2 more sources

Relative Serre functor for comodule algebras

open access: yes, 2019
Let $\mathcal{C}$ be a finite tensor category, and let $\mathcal{M}$ be an exact left $\mathcal{C}$-module category. A relative Serre functor of $\mathcal{M}$, introduced by Fuchs, Schaumann and Schweigert, is an endofunctor $\mathbb{S}$ on $\mathcal{M}$
Shimizu, Kenichi
core  

Perverse schobers and Orlov equivalences. [PDF]

open access: yesEur J Math, 2023
Koseki N, Ouchi G.
europepmc   +1 more source

Addendum to “exact embedding functors between categories of modules”

open access: yesJournal of Pure and Applied Algebra, 1987
Concerns the article ibid. 25, 107-111 (1982; Zbl 0483.16036). The author adds a further theorem in the spirit of that paper.
openaire   +2 more sources

Tensor-product coaction functors

open access: yes, 2019
For a discrete group $G$, we develop a `$G$-balanced tensor product' of two coactions $(A,\delta)$ and $(B,\epsilon)$, which takes place on a certain subalgebra of the maximal tensor product $A\otimes_{\max} B$.
Kaliszewski, S.   +2 more
core  

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