Derivations modulo elementary operators
نویسندگان
چکیده
منابع مشابه
A Note on Elementary Derivations
Let R be a UFD containing a field of characteristic 0, and Bm = R[Y1, . . . , Ym] be a polynomial ring over R. It was conjectured in [5] that if D is an R-elementary monomial derivation of B3 such that kerD is a finitely generated R-algebra then the generators of kerD can be chosen to be linear in the Yi’s. In this paper, we prove that this does not hold for B4. We also investigate R-elementary...
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Given a UFD R containing the rationals, we study elementary derivations of the polynomial ring in three variables over R. A consequence of Theorem 2:1, is that the kernel of every elementary monomial derivation of k [6] (k is a eld of characteristic zero) is generated over k by at most six elements. In particular, seven is the lowest dimension in which we can construct a counterexample to Hilbe...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2011
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2011.05.009