The Tensor Completion Functor in Categories of Exponential MR-Groups
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DOI: 10.1007/s10469-018-9482-9
Abstract: The notion of an exponential R-group, where R is an arbitrary associative ring with unity, was introduced by R. Lyndon. A. G. Myasnikov and V. N. Remeslennikov refined this notion by adding an extra axiom.… read more here.
Keywords: tensor completion; notion; exponential groups; functor categories ... See more keywords
Derived equivalences of functor categories
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DOI: 10.1016/j.jpaa.2018.05.015
Abstract: Let $\Mod \CS$ denote the category of $\CS$-modules, where $\CS$ is a small category. In the first part of this paper, we provide a version of Rickard's theorem on derived equivalence of rings for $\Mod… read more here.
Keywords: derived equivalences; equivalences functor; functor categories;
Models for functor categories over self-injective quivers
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498822500839
Abstract: Let R be a ring, Q a small k-preadditive category, and let Q,RMod be the category of k-linear functors from Q to the left R-module category RMod. Given a cotorsion pair (????,ℬ) in RMod, we… read more here.
Keywords: categories self; self injective; models functor; functor categories ... See more keywords