A field-like property of finite rings

DOI10.1016/0019-3577(92)90024-FzbMath0771.16009OpenAlexW1987424956MaRDI QIDQ1190255

H. L. Claasen, R. W. Goldbach

Publication date: 27 September 1992

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(92)90024-f

zbMATH Keywords

commutative ringsadditive groupminimal one-sided idealsadmissibility of finite rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Noncommutative local and semilocal rings, perfect rings (16L30) Finite-dimensional division rings (16K20) Structure of finite commutative rings (13M05)

Related Items (20)

The homogeneous weight partition and its character-theoretic dual ⋮ Classification of not commutative rings with identity of order dividing \(p^ 4\) ⋮ On admissible rings ⋮ Unnamed Item ⋮ On quantum stabilizer codes derived from local Frobenius rings ⋮ Symplectic isometries of stabilizer codes ⋮ Partitions of Frobenius rings induced by the homogeneous weight ⋮ MacWilliams extension theorems and the local-global property for codes over Frobenius rings ⋮ Representations of McLain groups ⋮ Generators and relations for the unitary group of a skew Hermitian form over a local ring ⋮ Irreducible representations of unipotent subgroups of symplectic and unitary groups defined over rings ⋮ FINITE QUASI-FROBENIUS MODULES AND LINEAR CODES ⋮ A note on finite local rings ⋮ Finite Rings with Applications ⋮ Unnamed Item ⋮ Generating characters of non-commutative Frobenius rings ⋮ Extension theorems for various weight functions over Frobenius bimodules ⋮ Cyclotomic schemes over finite, commutative, admissible rings ⋮ Cyclotomic schemes over finite rings ⋮ Fourier-reflexive partitions and MacWilliams identities for additive codes

Cites Work

• Cyclotomic schemes over finite rings
• Unnamed Item
• Unnamed Item

This page was built for publication: A field-like property of finite rings