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Transfer of derived equivalences from subalgebras to endomorphism algebras II
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 4, pp. 1041-1058
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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.
DOI : 10.21136/CMJ.2024.0452-23
Classification : 16G10, 16S10, 18G15
Keywords: approximation; derived equivalence; subring; endomorphism algebra; Auslander-Yoneda algebra 
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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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