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SOME REMARKS ON THE PRIMARY IDEALS OF ℤpm[X]
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 Title & Authors
SOME REMARKS ON THE PRIMARY IDEALS OF ℤpm[X]
Woo, Sung-Sik;
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 Abstract
In [2], they found some natural generators for the ideals of the finite ring [X]/, where p and n are relatively prime. If p and n are not relatively prime is not a product of basic irreducible polynomials but a product of primary polynomials. Due to this fact, to consider the ideals of [X]/ in `inseparable` case we need to look at the primary ideals of [X]. In this paper, we find a set of generators of ideals of [X]/(f) for some primary polynomials f of [X].
 Keywords
primary ideal;polynomial over a finite ring;
 Language
English
 Cited by
 References
1.
M. Atiyah, Addison-Wesley (1965)

2.
P. Kanwar and Sergio, Cyclic codes over integer modulo $p^n$, finite fields and their applications 3(2) (1997)

3.
S. Lang, Algebra, 3rd ed., Addison Wesley, 1993

4.
B. R. McDonalds, Finite rings with identity, Dekker, New York, 1974