Pseudo-dualizing complexes and pseudo-derived categories

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524625" target="_blank" >RIV/67985840:_____/20:00524625 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.4171/RSMUP/44" target="_blank" >http://dx.doi.org/10.4171/RSMUP/44</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4171/RSMUP/44" target="_blank" >10.4171/RSMUP/44</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Pseudo-dualizing complexes and pseudo-derived categories

Popis výsledku v původním jazyce

The definition of a pseudo-dualizing complex is obtained from that of a dualizing complex by dropping the injective dimension condition, while retaining the finite generatedness and homothety isomorphism conditions. In the specific setting of a pair of associative rings, we show that the datum of a pseudo-dualizing complex induces a triangulated equivalence between a pseudo-coderived category and a pseudo-contraderived category. The latter terms mean triangulated categories standing 'in between' the conventional derived category and the coderived or the contraderived category. The constructions of these triangulated categories use appropriate versions of the Auslander and Bass classes of modules. The constructions of derived functors providing the triangulated equivalence are based on a generalization of a technique developed in our previous paper [45].

Název v anglickém jazyce

Pseudo-dualizing complexes and pseudo-derived categories

Popis výsledku anglicky

The definition of a pseudo-dualizing complex is obtained from that of a dualizing complex by dropping the injective dimension condition, while retaining the finite generatedness and homothety isomorphism conditions. In the specific setting of a pair of associative rings, we show that the datum of a pseudo-dualizing complex induces a triangulated equivalence between a pseudo-coderived category and a pseudo-contraderived category. The latter terms mean triangulated categories standing 'in between' the conventional derived category and the coderived or the contraderived category. The constructions of these triangulated categories use appropriate versions of the Auslander and Bass classes of modules. The constructions of derived functors providing the triangulated equivalence are based on a generalization of a technique developed in our previous paper [45].

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Rendiconti del Seminario Matematico della Universita di Padova

ISSN

0041-8994

e-ISSN

—

Svazek periodika

143

Číslo periodika v rámci svazku

June

Stát vydavatele periodika

IT - Italská republika

Počet stran výsledku

73

Strana od-do

153-225

Kód UT WoS článku

000566776500007

EID výsledku v databázi Scopus

2-s2.0-85089689709