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congruence

Defines: 
number congruence, residue class, residue class ring
Keywords: 
number theory, integers, divisibility
Synonym: 
congruent
Type of Math Object: 
Definition
Major Section: 
Reference
Groups audience: 

Mathematics Subject Classification

18C10 no label found11A07 no label found11A05 no label found92B20 no label found92B05 no label found55M05 no label found18E05 no label found18-00 no label found

Comments

In regards to property 3, I suggest you specifically mention exponentiation as an example of a polynomial with integer coefficients, maybe even show the notation $a^n \equiv b^n \pmod m$ if $a \equiv b \pmod m$.

Dear Lisa,
I have added after the properties the Remark concerning your wish =o)
Regards,
Jussi

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