caa a22 4500 386386080 CHVBK 20180307112058.0 cr unu---uuuuu 161130e198911 xx s 000 0 eng 10.1017/S0305004100068183 doi S0305004100068183 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100068183 Huckaba Sam Department of Mathematics, Florida State University, Tallahassee, FL 32306-3027, U.S.A. On complete d-sequences and the defining ideals of Rees algebras [Elektronische Daten] [Sam Huckaba] If R is a Noetherian local ring and I = (x1, ..., xn)R is an ideal of R then the Rees algebra R[It] can be represented as a homomorphic image of the polynomial ring R[Z1, ..., Zn]. The kernel is a homogeneous ideal, and the smallest of the degree bounds among all generating sets, called the relation type of I, is independent of the representation. We derive formulae connecting the relation type of I with the reduction number of I when the analytic spread of I exceeds height(I) by one. In the process we define complete d-sequences with respect to I and use them to help achieve our results. In addition some results on the behaviour of the relation type modulo an element are proved, and examples where the relation type is explicitly computed are presented. Copyright © Cambridge Philosophical Society 1989 Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/3(1989-11), 445-458 0305-0041 106:3<445 1989 106 PSP https://doi.org/10.1017/S0305004100068183 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100068183 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Huckaba Sam Department of Mathematics, Florida State University, Tallahassee, FL 32306-3027, U.S.A NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/3(1989-11), 445-458 0305-0041 106:3<445 1989 106 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge