Noetherian Rees Algebra and Symbolic Powers

Amber Heater, Tennessee State University

Abstract

Let R be a field and p be the kernel of the homomorphism ϕ from R[[x,y,z]] to R[[t]] defined by: (x → tm1,y→tm2,z→ tm3 ). One wishes to know whether the symbolic Rees algebra of p,Rs p=⨁ n≥0p ntn is Noetherian. Consider the case when p = (xα+α' y2z, y4xαz, z 2xα'y2). We show the symbolic Rees algebra of p,Rsp =⨁n≥0 pn tn is Noetherian for p (m1, m2, m3) when m1 = 6, m2 = 2α + α', and m 3 = 2α + 4α'.^

Subject Area

Mathematics|Theoretical Mathematics

Recommended Citation

Amber Heater, "Noetherian Rees Algebra and Symbolic Powers" (2012). ETD Collection for Tennessee State University. Paper AAI1519768.
http://digitalscholarship.tnstate.edu/dissertations/AAI1519768

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