Transfer of derived equivalences from subalgebras to endomorphism algebras II
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1041-1058
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
We investigate derived equivalences between subalgebras of some $\Phi $-Auslander-Yoneda algebras from a class of $n$-angles in weakly $n$-angulated categories. The derived equivalences are obtained by transferring subalgebras induced by $n$-angles to endomorphism algebras induced by approximation sequences. Then we extend our constructions in T. Brüstle, S. Y. Pan (2016) to $n$-angle cases. Finally, we give an explicit example to illustrate our result.
We investigate derived equivalences between subalgebras of some $\Phi $-Auslander-Yoneda algebras from a class of $n$-angles in weakly $n$-angulated categories. The derived equivalences are obtained by transferring subalgebras induced by $n$-angles to endomorphism algebras induced by approximation sequences. Then we extend our constructions in T. Brüstle, S. Y. Pan (2016) to $n$-angle cases. Finally, we give an explicit example to illustrate our result.
Classification :
16G10, 16S10, 18G15
Keywords: approximation; derived equivalence; subring; endomorphism algebra; Auslander-Yoneda algebra
Keywords: approximation; derived equivalence; subring; endomorphism algebra; Auslander-Yoneda algebra
@article{10_21136_CMJ_2024_0452_23,
author = {Pan, Shengyong and Yu, Jiahui},
title = {Transfer of derived equivalences from subalgebras to endomorphism algebras {II}},
journal = {Czechoslovak Mathematical Journal},
pages = {1041--1058},
year = {2024},
volume = {74},
number = {4},
doi = {10.21136/CMJ.2024.0452-23},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2024.0452-23/}
}
TY - JOUR AU - Pan, Shengyong AU - Yu, Jiahui TI - Transfer of derived equivalences from subalgebras to endomorphism algebras II JO - Czechoslovak Mathematical Journal PY - 2024 SP - 1041 EP - 1058 VL - 74 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2024.0452-23/ DO - 10.21136/CMJ.2024.0452-23 LA - en ID - 10_21136_CMJ_2024_0452_23 ER -
%0 Journal Article %A Pan, Shengyong %A Yu, Jiahui %T Transfer of derived equivalences from subalgebras to endomorphism algebras II %J Czechoslovak Mathematical Journal %D 2024 %P 1041-1058 %V 74 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2024.0452-23/ %R 10.21136/CMJ.2024.0452-23 %G en %F 10_21136_CMJ_2024_0452_23
Pan, Shengyong; Yu, Jiahui. Transfer of derived equivalences from subalgebras to endomorphism algebras II. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1041-1058. doi: 10.21136/CMJ.2024.0452-23
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