Primary differential nil-algebras do exist
Primary differential nil-algebras do exist
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一阶微分零代数确实存在
DOI：
10.3103/s0027132214010069
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发表时间：
2013
影响因子：
0.4
通讯作者：
G. Pogudin
中科院分区：
文献类型：
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作者：
G. Pogudin
构造了从微分代数k{x}/[xm]到具有微分代数结构的Grassmann代数的单态映射.利用这一单态性，证明了k{x}/[xm]的素性及其微分多项式代数，解决了与此代数有关的一个Ritt问题，并给出了理想[xm]的可积性的一个新证明.
We construct a monomorphism from the differential algebra k{x}/[xm] to a Grassmann algebra endowed with a structure of differential algebra. Using this monomorphism, we prove the primality of k{x}/[xm] and its algebra of differential polynomials, solve one of so-called Ritt problems related to this algebra, and give a new proof of the integrality of ideal [xm].