Regularity and intersections of bracket powers
Czechoslovak Mathematical Journal (2022)
- Volume: 72, Issue: 2, page 593-599
- ISSN: 0011-4642
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topEpstein, Neil. "Regularity and intersections of bracket powers." Czechoslovak Mathematical Journal 72.2 (2022): 593-599. <http://eudml.org/doc/298305>.
@article{Epstein2022,
abstract = {Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely that where the finite intersection of ideals commutes with taking bracket powers. However, reducedness is essential for this equivalence. Connections are made with Ohm-Rush content theory, intersection-flatness of the Frobenius map, and various flatness criteria.},
author = {Epstein, Neil},
journal = {Czechoslovak Mathematical Journal},
keywords = {regular ring; Ohm-Rush content theory; intersection flat; bracket power; Frobenius endomorphism},
language = {eng},
number = {2},
pages = {593-599},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Regularity and intersections of bracket powers},
url = {http://eudml.org/doc/298305},
volume = {72},
year = {2022},
}
TY - JOUR
AU - Epstein, Neil
TI - Regularity and intersections of bracket powers
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 2
SP - 593
EP - 599
AB - Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely that where the finite intersection of ideals commutes with taking bracket powers. However, reducedness is essential for this equivalence. Connections are made with Ohm-Rush content theory, intersection-flatness of the Frobenius map, and various flatness criteria.
LA - eng
KW - regular ring; Ohm-Rush content theory; intersection flat; bracket power; Frobenius endomorphism
UR - http://eudml.org/doc/298305
ER -
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