Piecewise hereditary algebras under field extensions
Czechoslovak Mathematical Journal (2021)
- Volume: 71, Issue: 4, page 1025-1034
- ISSN: 0011-4642
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topLi, Jie. "Piecewise hereditary algebras under field extensions." Czechoslovak Mathematical Journal 71.4 (2021): 1025-1034. <http://eudml.org/doc/298219>.
@article{Li2021,
abstract = {Let $A$ be a finite-dimensional $k$-algebra and $K/k$ be a finite separable field extension. We prove that $A$ is derived equivalent to a hereditary algebra if and only if so is $A\otimes _kK$.},
author = {Li, Jie},
journal = {Czechoslovak Mathematical Journal},
keywords = {piecewise hereditary algebra; Galois extension; directing object},
language = {eng},
number = {4},
pages = {1025-1034},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Piecewise hereditary algebras under field extensions},
url = {http://eudml.org/doc/298219},
volume = {71},
year = {2021},
}
TY - JOUR
AU - Li, Jie
TI - Piecewise hereditary algebras under field extensions
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 4
SP - 1025
EP - 1034
AB - Let $A$ be a finite-dimensional $k$-algebra and $K/k$ be a finite separable field extension. We prove that $A$ is derived equivalent to a hereditary algebra if and only if so is $A\otimes _kK$.
LA - eng
KW - piecewise hereditary algebra; Galois extension; directing object
UR - http://eudml.org/doc/298219
ER -
References
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