Let (R,m) be a local ring and Ian ideal of R. In this work we find conditions on Ithat allow us to describe simple relations among depth R(It), depth grI(R), depth S(I) and depth S(I/I 2). These relations are useful also from a practical point, of view since it is usually difficult to evaluate depth grI(R) and depth S(I/I 2) even with the help of a computer. Furthermore we study the class of ideals that satisfy one of the required conditions and we show that ideals generated by quadratic sequences are in this class

On the depth of certain graded rings associated to an ideal

GUERRIERI, ANNA
1995-01-01

Abstract

Let (R,m) be a local ring and Ian ideal of R. In this work we find conditions on Ithat allow us to describe simple relations among depth R(It), depth grI(R), depth S(I) and depth S(I/I 2). These relations are useful also from a practical point, of view since it is usually difficult to evaluate depth grI(R) and depth S(I/I 2) even with the help of a computer. Furthermore we study the class of ideals that satisfy one of the required conditions and we show that ideals generated by quadratic sequences are in this class
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/21083
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