Integral degree of a ring and reduction numbers
classification
🧮 math.AC
keywords
integralnumbersringdegreefinitereductionalgebraartin-rees
read the original abstract
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.
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