We define the concept of a polynomial function from Z. to Z,., which is a generalization of the well-known polynomial function from Z. to Z.. We obtain a necessary and sufficient condition on n and m for all functions from Z. to Z., to be polynomial functions. Then we present canonical representatio
โฆ LIBER โฆ
Congruence preservation and polynomial functions from Zn to Zm
โ Scribed by Manjul Bhargava
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 283 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0012-365X
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๐ SIMILAR VOLUMES
On polynomial functions from Zn to Zm
โ
Zhibo Chen
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๐
1995
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Elsevier Science
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โ 354 KB
On polynomial functions from Zn1 ร Zn2 ร
โ
Zhibo Chen
๐
Article
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1996
๐
Elsevier Science
๐
English
โ 367 KB
The well-known concept of a polynomial function (mod m) has been generalized to polynomial functions from Z, to Z m and a number of results have been obtained in (Chen, 1995). In the present paper, we further define the concept of polynomial functions from Z,, x Z.2 x ... x Z.r to Z,, and generalize