Symbolic algebras of monomial primes.
Symbolic algebras of monomial primes.
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单项式素数的符号代数。
DOI：
10.1515/crll.1991.416.71
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
S. Cutkosky
中科院分区：
文献类型：
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作者：
S. Cutkosky
确定符号代数何时是非线性生成的是交换代数和代数几何的核心。其中一个最简单的非平凡类的例子，这不是除数，是单项素数P（a，B，c）ak | x，y，z]。定义P（a，B，c）为k [x，y，z] → k[f]，f（x，y，z））→ f（t，t，t）的核.研究这些素数的符号代数的有限生成的文献有[E]、[Hb]、[H1]、[H2]、[H-U]和[V]。
Determination of when symbolic algebras are finitely generated is central to commutative algebra and algebraic geometry. One of the simplest non-trivial classes of examples, which are not divisorial, are the monomial primes P(a, b, c) a k\x,y, z]. P(a, b, c) is defined to be the kernel of k\_x,y,z] -> k[f], f(x,y,z) )-^f(t,t,t). Some references where finite generation of the symbolic algebras of these primes has been studied are [E], [Hb], [Hl], [H2], [H-U] and [V].