The number of generators of the powers of an ideal
2019 ◽
Vol 29
(05)
◽
pp. 827-847
◽
Keyword(s):
We study the number of generators of ideals in regular rings and ask the question whether [Formula: see text] if [Formula: see text] is not a principal ideal, where [Formula: see text] denotes the number of generators of an ideal [Formula: see text]. We provide lower bounds for the number of generators for the powers of an ideal and also show that the CM-type of [Formula: see text] is [Formula: see text] if [Formula: see text] is a monomial ideal of height [Formula: see text] in [Formula: see text] and [Formula: see text].
2019 ◽
Vol 18
(10)
◽
pp. 1950184
◽
Keyword(s):
2019 ◽
Vol 19
(10)
◽
pp. 2050200
Keyword(s):
Keyword(s):
2019 ◽
Vol 19
(10)
◽
pp. 2050201
Keyword(s):
2007 ◽
Vol 06
(05)
◽
pp. 789-799
◽
Keyword(s):
Keyword(s):
2018 ◽
Vol 17
(08)
◽
pp. 1850160
◽
Keyword(s):
2002 ◽
Vol 51
(1)
◽
pp. 5-50
◽
Keyword(s):