A homotopy category for graphs
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-020-00960-5
Abstract: We show that the category of graphs has the structure of a 2-category with homotopy as the 2-cells. We then develop an explicit description of homotopies for finite graphs, in terms of what we call… read more here.
Keywords: graphs; category; homotopy category; category graphs ... See more keywords
On the homotopy category of AC-injective complexes
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DOI: 10.1007/s11464-016-0551-x
Abstract: Let R be any ring. We motivate the study of a class of chain complexes of injective R-modules that we call AC-injective complexes, showing that K(AC-Inj), the chain homotopy category of all AC-injective complexes, is… read more here.
Keywords: injective complexes; homotopy category; category injective;
On the relation between K-flatness and K-projectivity
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DOI: 10.1016/j.jalgebra.2018.10.004
Abstract: Abstract Krause [19] has proved that the homotopy category K ( R - PureProj ) of pure projective modules over an associative ring R is compactly generated and equivalent to the Verdier quotient K (… read more here.
Keywords: projective modules; relation flatness; flatness projectivity; homotopy category ... See more keywords