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Type: Artigo de periódico
Title: A NOTE ON NAKAI'S CONJECTURE FOR THE RING K[X-1,...,X-n]/(a(1)X(1)(m) +...+ a(n)X(n)(m))
Author: Brumatti, PR
Veloso, MO
Abstract: Let k be a field of characteristic zero, k [X-1,...,X-n] the polynomial ring, and B the ring k[X1,...,X-n]/(a(1)X(1)(m) +...+ a(m)X(n)(m)), 0 not equal a(i) is an element of k for all i and m, n is an element of N with n >= 2 and m >= 1. Let Der(k)(2)(B) be the B-module of all second order k-derivations of B and der(k)(2)(B) = Der(k)(1)(B) + Der(k)(1)(B) + Der(k)(1)(B) where Der(k)(1)(B) is the B-module of k-derivations of B. If m >= 2 we exhibit explicitly a second order derivation D is an element of Der(k)(2)(B) such that D is not an element of der(k)(2)(B) and thus we prove that Nakai's conjecture is true for the k-algebra B.
Subject: Nakai's conjecture
commutative algebra
Country: Polónia
Editor: Ars Polona-ruch
Rights: fechado
Identifier DOI: 10.4064/cm123-2-10
Date Issue: 2011
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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