2 papers
math.AC2015
On the integral degree of integral ring extensions
José M. Giral, Liam O'Carroll, Francesc Planas-Vilanova +1
Let be an integral ring extension of integral domains with fields of fractions and , respectively. The integral degree of , denoted by ${\rm d}_A(B)…
math.AC2007
Integral degree of a ring and reduction numbers
José M. Giral, Francesc Planas-Vilanova
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…