Linear Congruence Relation and Complete Residue Systems

• Autorzy: Xiquan Liang , Li Yan , Junjie Zhao
• Języki publikacji: EN

Abstrakty

EN

In this paper, we defined the congruence relation and proved its fundamental properties on the base of some useful theorems. Then we proved the existence of solution and the number of incongruent solution to a linear congruence and the linear congruent equation class, in particular, we proved the Chinese Remainder Theorem. Finally, we defined the complete residue system and proved its fundamental properties.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2007
• Tom: 15
• Numer: 4
• Strony: 181-187

Daty

wydano

2007-01-01

online

2008-06-09

Twórcy

autor

Xiquan Liang

• Qingdao University of Science and Technology, China

autor

Li Yan

• Qingdao University of Science and Technology, China

autor

Junjie Zhao

• Qingdao University of Science and Technology, China

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-007-0022-7