Artículos de revistas
A NOTE ON NAKAI'S CONJECTURE FOR THE RING K[X-1,...,X-n]/(a(1)X(1)(m) +...+ a(n)X(n)(m))
Registro en:
Colloquium Mathematicum. Ars Polona-ruch, v. 123, n. 2, n. 277, n. 283, 2011.
0010-1354
WOS:000294926800010
10.4064/cm123-2-10
Autor
Brumatti, PR
Veloso, MO
Institución
Resumen
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. 123 2 277 283