The q-shaped derived category of a ring
Webb23 dec. 2024 · H. Holm and P. Jørgensen, The Q-shaped derived category of a ring -compact and perfect objects, preprint (2024). arXiv:2208.13282. A -derived categories O … http://web.math.ku.dk/~holm/download/Q-shaped_intro8.pdf
The q-shaped derived category of a ring
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WebbLocal, colocal, and antilocal properties of modules and complexes over commutative rings. L. Positselski. Mathematics. 2024. . This paper is a commutative algebra introduction to … Webbthe Q-shaped derived category is the ordinary derived category of A (see Example 8.13). However, the theory developed in this paper applies to many other types of categories as …
WebbarXiv:1405.5768v1 [math.RA] 22 May 2014 THE STABLE MODULE CATEGORY OF A GENERAL RING DANIEL BRAVO, JAMES GILLESPIE, AND MARK HOVEY Abstract. For any ring Rwe construct two triangulated categories ... Webb17 juli 2024 · The associated homotopy category, which is triangulated, is called the Q $Q$-shaped derived category of A $A$. The usual derived category of A $A$ is one …
WebbHenrik Holm and Peter Jørgensen: The Q -shaped derived category of a ring - compact and perfect objects, preprint (2024). Amit Shah: Krull-Remak-Schmidt decompositions in Hom-finite additive categories, to appear in Expo. Math. Karin M. Jacobsen and Job D. Rock, Admissible ideals for k-linear categories, preprint (2024). Webb1 dec. 2024 · The derived category $D(A)$ of the category Mod$(A)$ of modules over a ring $A$ is an important example of a triangulated category in algebra. It can be …
Webb15 jan. 2024 · We study criteria for a ring - or more generally, for a small category - to be Gorenstein and for a module over it to be of finite projective dimension.
Webb28 aug. 2024 · The $Q$-shaped derived category of $A$, which is denoted by $\mathcal {D}_ {Q} (A)$, is a generalization of the ordinary derived category. In this paper we prove … green feces indicationWebbThe $Q$-shaped derived category of a ring. For any ring $A$ and a small, preadditive, Hom-finite, and locally bounded category $Q$ that has a Serre functor and satisfies the … green feces liverWebbviewed as a small category, Qcpx has a Serre functor; see [22], [23, sec. 2]. Generalising the construction to other quivers with relations which have a Serre functor, or more generally to any suitable category Qwhich has a Serre functor, results in the Q-shaped derived category D Q(A). See Setup 1.1 for the precise conditions imposed on Q. flukenetworks microscanner poeビューアー ms-poeWebbUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). green feces adultsWebbFor any ring A$A$ and a small, pre‐additive, Hom‐finite, and locally bounded category Q$Q$ that has a Serre functor and satisfies the (strong) retraction property ... green feathery plantWebbTHE Q-SHAPED DERIVED CATEGORY 3 Let k be a hereditary noetherian commutative ring, A a -algebra, and Q a category satis-fying the conditions in Setup 1.1, with Q0 denoting the class of objects of Q. Note that Q is often defined by a quiver with relations; see 1.5. green feces symptomWebbThe Q -shaped derived category of A , which is denoted by D Q ( A ) , is a generalization of the ordinary derived category. In this paper we prove that the Q -shaped derived … fluke networks intellitone pro 200 manual