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Congruence preservation and polynomial functions from Zn to Zm

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


On polynomial functions from Zn to Zm
โœ Zhibo Chen ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 354 KB

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

On polynomial functions from Zn1 ร— Zn2 ร—
โœ Zhibo Chen ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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