Mathematics – Commutative Algebra
Scientific paper
2007-06-22
Mathematics
Commutative Algebra
18 pages
Scientific paper
The supremum of reduction numbers of ideals having principal reductions is
expressed in terms of the integral degree, a new invariant of the ring, which
is finite provided the ring has finite integral closure. As a consequence, one
obtains bounds for the Castelnuovo-Mumford regularity of the Rees algebra and
for the Artin-Rees numbers.
Giral José M.
Planas-Vilanova Francesc
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