Ring Constructions and Generation of the Unbounded Derived Module Category
Sign Up to like & getrecommendations! Published in 2021 at "Algebras and Representation Theory"
DOI: 10.1007/s10468-021-10094-2
Abstract: We consider the smallest triangulated subcategory of the unbounded derived module category of a ring that contains the injective modules and is closed under set indexed coproducts. If this subcategory is the entire derived category,… read more here.
Keywords: category; module category; ring constructions; unbounded derived ... See more keywords
Unbounded derived categories of small and big modules: Is the natural functor fully faithful?
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2021.106722
Abstract: Abstract Consider the obvious functor from the unbounded derived category of all finitely generated modules over a left noetherian ring R to the unbounded derived category of all modules. We answer the natural question whether… read more here.
Keywords: categories small; small big; unbounded derived; derived categories ... See more keywords