Group structure computations in finite chain rings

DOI10.1016/0021-8693(91)90112-LzbMath0757.16008OpenAlexW2053994922MaRDI QIDQ1180653

M. A. de Luis

Publication date: 27 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90112-l

zbMATH Keywords

group of unitsmaximal idealGalois ringadditive structurefinite chain ringfinite abelian \(p\)-group

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Noncommutative local and semilocal rings, perfect rings (16L30) Units, groups of units (associative rings and algebras) (16U60) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Structure of finite commutative rings (13M05)

Cites Work

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• Units in the modular group algebra of a finite Abelian p-group
• Enumeration of finite commutative chain rings
• Finite chain rings
• On diagrams for abelian groups
• On the group of units of certain rings
• The Euler φ-Function in the Gaussian Integers
• Involutory Matrices Over Finite Local Rings
• FINITE PRINCIPAL IDEAL RINGS

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