On the groups of units of finite commutative chain rings.

DOI10.1016/S1071-5797(02)00003-5zbMath1088.13010MaRDI QIDQ1867477

Ka Hin Leung, Xiang-Dong Hou, Siu Lun Ma

Publication date: 2 April 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

zbMATH Keywords

group of unitsGalois ringfinite commutative chain ringEisenstein polynomial

Mathematics Subject Classification ID

Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Units, groups of units (associative rings and algebras) (16U60) Structure of finite commutative rings (13M05)

Related Items (11)

Determinants of matrices over commutative finite principal ideal rings ⋮ Determinants of some special matrices over commutative finite chain rings ⋮ 1-generator quasi-cyclic codes over finite chain rings ⋮ Repeated root cyclic \(\mathbb{F}_q\)-linear codes over \(\mathbb{F}_{q^l}\) ⋮ Exponent of local ring extensions of Galois rings and digraphs of the $k$th power mapping ⋮ A class of 1-generator repeated root quasi-cyclic codes ⋮ Units on the Gauss extension of a Galois ring ⋮ Association Schemes and Directed Graphs Determined by Orbitals of General Linear Groups Over Finite Chain Rings ⋮ Generalized affine transformation monoid of a free module of finite rank over finite chain rings. ⋮ Lifted codes and lattices from codes over finite chain rings ⋮ Symmetric weighing matrices constructed using group matrices

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