@Article{JMS-55-2,
author = {Yexuan, Li and Yao, Hailou},
title = {Gorenstein Hereditary Coalgebras},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {2},
pages = {216--228},
abstract = {<p style="text-align: justify;">Let $C$ be a coalgebra. We prove that a right $C$-comodule is an $n$-cosyzygy if and only if it is a Gorenstein $n$-cosyzygy. We study the Gorenstein global dimension of coalgebras and the class of Gorenstein hereditary coalgebras. As a generalization of Gorenstein hereditary coalgebras, we introduce the concept of Gorenstein semihereditary coalgebras and show that a coalgebra $C$ is Gorenstein semihereditary if and only if every finitely cogenerated factor of any injective comodule is Gorenstein injective.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v55n2.22.08},
url = {https://global-sci.com/article/87651/gorenstein-hereditary-coalgebras}
}