Pseudo-dualizing complexes of bicomodules and pairs of t-structures

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00554416" target="_blank" >RIV/67985840:_____/22:00554416 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/s10485-021-09660-y" target="_blank" >https://doi.org/10.1007/s10485-021-09660-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10485-021-09660-y" target="_blank" >10.1007/s10485-021-09660-y</a>

Result language

angličtina

Original language name

Pseudo-dualizing complexes of bicomodules and pairs of t-structures

Original language description

This paper is a coalgebra version of Positselski 'Pseudo-dualizing complexes and pseudo-derived categories' (Rendiconti Seminario Matematico Univ. Padova 143: 153–225, 2020) and a sequel to Positselski 'Dedualizing complexes of bicomodules and MGM duality over coalgebras' (Algebras and Represent Theory 21(4): 737–767, 2018). We present the definition of a pseudo-dualizing complex of bicomodules over a pair of coassociative coalgebras C and D. For any such complex L, we construct a triangulated category endowed with a pair of (possibly degenerate) t-structures of the derived type, whose hearts are the abelian categories of left C-comodules and left D-contramodules. A weak version of pseudo-derived categories arising out of (co)resolving subcategories in abelian/exact categories with enough homotopy adjusted complexes is also considered. Quasi-finiteness conditions for coalgebras, comodules, and contramodules are discussed as a preliminary material.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA20-13778S" target="_blank" >GA20-13778S: Symmetries, dualities and approximations in derived algebraic geometry and representation theory</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2022

Confidentiality

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

Name of the periodical

Applied Categorical Structures

ISSN

0927-2852

e-ISSN

1572-9095

Volume of the periodical

30

Issue of the periodical within the volume

2

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

38

Pages from-to

379-416

UT code for WoS article

000707543100001

EID of the result in the Scopus database

2-s2.0-85117156925