On the groups of units of finite commutative chain rings

Authors:
Xiang-Dong Hou;Ka Hin Leung;Siu Lun Ma
Affiliations:
Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA;Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Singapore;Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 119260, Singapore
Venue:
Finite Fields and Their Applications
Year:
2003

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Abstract

A finite commutative chain ring is a finite commutative ring whose ideals form a chain. Let R be a finite commutative ring with maximal ideal M and characteristic p^n such that R/M@?GF(p^r) and pR=M^e, e=