Definable coaisles over rings of weak global dimension at most one

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00535449" target="_blank" >RIV/67985840:_____/21:00535449 - isvavai.cz</a>

Výsledek na webu

<a href="https://dx.doi.org/10.5565/PUBLMAT6512106" target="_blank" >https://dx.doi.org/10.5565/PUBLMAT6512106</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5565/PUBLMAT6512106" target="_blank" >10.5565/PUBLMAT6512106</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Definable coaisles over rings of weak global dimension at most one

Popis výsledku v původním jazyce

In the setting of the unbounded derived category D(R) of a ring R of weak global dimension at most one we consider t-structures with a de nable coaisle. The t-structures among these which are stable (that is, the t-structures which consist of a pair of triangulated subcategories) are precisely the ones associated to a smashing localization of the derived category. In this way, our present results generalize those of [8] to the non-stable case. As in the stable case [8], we con ne for the most part to the commutative setting, and give a full classi cation of de nable coaisles in the localncase, that is, over valuation domains. It turns out that, unlike in the stable case of smashing subcategories, the de nable coaisles do not always arise from homological ring epimorphisms. We also consider a non-stable version of the Telescope Conjecture for t-structures and give a ring-theoretic characterization of the commutative rings of weak global dimension at most one for which it is satis ed.

Název v anglickém jazyce

Definable coaisles over rings of weak global dimension at most one

Popis výsledku anglicky

In the setting of the unbounded derived category D(R) of a ring R of weak global dimension at most one we consider t-structures with a de nable coaisle. The t-structures among these which are stable (that is, the t-structures which consist of a pair of triangulated subcategories) are precisely the ones associated to a smashing localization of the derived category. In this way, our present results generalize those of [8] to the non-stable case. As in the stable case [8], we con ne for the most part to the commutative setting, and give a full classi cation of de nable coaisles in the localncase, that is, over valuation domains. It turns out that, unlike in the stable case of smashing subcategories, the de nable coaisles do not always arise from homological ring epimorphisms. We also consider a non-stable version of the Telescope Conjecture for t-structures and give a ring-theoretic characterization of the commutative rings of weak global dimension at most one for which it is satis ed.

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

2021

Kód důvěrnosti údajů

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

Název periodika

Publicacions Matematiques

ISSN

0214-1493

e-ISSN

0214-1493

Svazek periodika

65

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

ES - Španělské království

Počet stran výsledku

77

Strana od-do

165-241

Kód UT WoS článku

000661536000006

EID výsledku v databázi Scopus

2-s2.0-85091070810