Primary differential nil-algebras do exist

We construct a monomorphism from the differential algebra k { x }/[ x m ] to a Grassmann algebra endowed with a structure of differential algebra. Using this monomorphism, we prove the primality of k { x }/[ x m ] and its algebra of differential polynomials, solve one of so-called Ritt problems rela...

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Bibliographic Details
Published in:Moscow University mathematics bulletin 2014, Vol.69 (1), p.33-36
Main Author: Pogudin, G. A.
Format: Article
Language:English
Subjects:
Analysis
Brief Communications
Mathematics
Mathematics and Statistics
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Summary:We construct a monomorphism from the differential algebra k { x }/[ x m ] to a Grassmann algebra endowed with a structure of differential algebra. Using this monomorphism, we prove the primality of k { x }/[ x m ] 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 [ x m ].
ISSN:0027-1322
1934-8444
DOI:10.3103/S0027132214010069