Transfer of derived equivalences from subalgebras to endomorphism algebras II

Shengyong Pan; Jiahui Yu

Czechoslovak Mathematical Journal (2024)

  • Volume: 74, Issue: 4, page 1041-1058
  • ISSN: 0011-4642

Abstract

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We investigate derived equivalences between subalgebras of some Φ -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.

How to cite

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Pan, Shengyong, and Yu, Jiahui. "Transfer of derived equivalences from subalgebras to endomorphism algebras II." Czechoslovak Mathematical Journal 74.4 (2024): 1041-1058. <http://eudml.org/doc/299638>.

@article{Pan2024,
abstract = {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.},
author = {Pan, Shengyong, Yu, Jiahui},
journal = {Czechoslovak Mathematical Journal},
keywords = {approximation; derived equivalence; subring; endomorphism algebra; Auslander-Yoneda algebra},
language = {eng},
number = {4},
pages = {1041-1058},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Transfer of derived equivalences from subalgebras to endomorphism algebras II},
url = {http://eudml.org/doc/299638},
volume = {74},
year = {2024},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 4
SP - 1041
EP - 1058
AB - 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.
LA - eng
KW - approximation; derived equivalence; subring; endomorphism algebra; Auslander-Yoneda algebra
UR - http://eudml.org/doc/299638
ER -

References

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