Počet záznamů: 1
Derived, coderived, and contraderived categories of locally presentable abelian categories
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SYSNO ASEP 0545361 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Derived, coderived, and contraderived categories of locally presentable abelian categories Tvůrce(i) Positselski, Leonid (MU-W) SAI, ORCID, RID
Šťovíček, J. (CZ)Číslo článku 106883 Zdroj.dok. Journal of Pure and Applied Algebra. - : Elsevier - ISSN 0022-4049
Roč. 226, č. 4 (2022)Poč.str. 39 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova conventional and exotic derived categories ; complete cotorsion pairs ; abelian model structures Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GA20-13778S GA ČR - Grantová agentura ČR Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000703984500021 EID SCOPUS 85114424531 DOI 10.1016/j.jpaa.2021.106883 Anotace For a locally presentable abelian category B with a projective generator, we construct the projective derived and contraderived model structures on the category of complexes, proving in particular the existence of enough homotopy projective complexes of projective objects. We also show that the derived category D(B) is generated, as a triangulated category with coproducts, by the projective generator of B. For a Grothendieck abelian category A, we construct the injective derived and coderived model structures on complexes. Assuming Vopěnka’s principle, we prove that the derived category D(A) is generated, as a triangulated category with products, by the injective cogenerator of A. We also define the notion of an exact category with an object size function and prove that the derived category of any such exact category with exact κ-directed colimits of chains of admissible monomorphisms has Hom sets. Hence the derived category of any locally presentable abelian category has Hom sets. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2023 Elektronická adresa https://doi.org/10.1016/j.jpaa.2021.106883
Počet záznamů: 1