Abhyankar-Sathaye embedding problem in dimension three
نویسندگان
چکیده
منابع مشابه
Around the Abhyankar–sathaye Conjecture
A “rational” version of the strengthened form of the Commuting Derivation Conjecture, in which the assumption of commutativity is dropped, is proved. A systematic method of constructing in any dimension greater than 3 the examples answering in the negative a question by M. El Kahoui is developed.
متن کاملon numerical semigroups with embedding dimension three
let $fneq1,3$ be a positive integer. we prove that there exists a numerical semigroup $s$ with embedding dimension three such that $f$ is the frobenius number of $s$. we also show that the same fact holds for affine semigroups in higher dimensional monoids.
متن کاملFactoring in Embedding Dimension Three Numerical Semigroups
Let us consider a 3-numerical semigroup S = 〈a, b,N 〉. Given m ∈ S, the triple (x, y, z) ∈ N3 is a factorization of m in S if xa+ yb+ zN = m. This work is focused on finding the full set of factorizations of any m ∈ S and as an application we compute the catenary degree of S. To this end, we relate a 2D tessellation to S and we use it as a main tool.
متن کاملAround the Abhyankar–sathaye Conjecture to A. Merkurjev on His 60th Birthday
A “rational” version of the strengthened form of the Commuting Derivation Conjecture, in which the assumption of commutativity is dropped, is proved. A systematic method of constructing in any dimension greater than 3 the examples answering in the negative a question by M. El Kahoui is developed. 2010 Mathematics Subject Classification: Primary 14R10; Secondary 14R20, 14L30, 20G15.
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2002
ISSN: 2156-2261
DOI: 10.1215/kjm/1250283832