A classification of some thick subcategories in locally noetherian Grothendieck categories
Glasgow mathematical journal, Tome 66 (2024) no. 1, pp. 175-182
Voir la notice de l'article provenant de la source Cambridge
Let $\mathcal{A}$ be a locally noetherian Grothendieck category. We classify all full subcategories of $\mathcal{A}$ which are thick and closed under taking arbitrary direct sums and injective envelopes by injective spectrum. This result gives a generalization from the commutative noetherian ring to the locally noetherian Grothendieck category.
Mots-clés :
locally noetherian Grothendieck categories, thick subcategories, injective envelopes
Wu, Kaili; Ma, Xinchao. A classification of some thick subcategories in locally noetherian Grothendieck categories. Glasgow mathematical journal, Tome 66 (2024) no. 1, pp. 175-182. doi: 10.1017/S001708952300040X
@article{10_1017_S001708952300040X,
author = {Wu, Kaili and Ma, Xinchao},
title = {A classification of some thick subcategories in locally noetherian {Grothendieck} categories},
journal = {Glasgow mathematical journal},
pages = {175--182},
year = {2024},
volume = {66},
number = {1},
doi = {10.1017/S001708952300040X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708952300040X/}
}
TY - JOUR AU - Wu, Kaili AU - Ma, Xinchao TI - A classification of some thick subcategories in locally noetherian Grothendieck categories JO - Glasgow mathematical journal PY - 2024 SP - 175 EP - 182 VL - 66 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708952300040X/ DO - 10.1017/S001708952300040X ID - 10_1017_S001708952300040X ER -
%0 Journal Article %A Wu, Kaili %A Ma, Xinchao %T A classification of some thick subcategories in locally noetherian Grothendieck categories %J Glasgow mathematical journal %D 2024 %P 175-182 %V 66 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S001708952300040X/ %R 10.1017/S001708952300040X %F 10_1017_S001708952300040X
Cité par Sources :