On admissible rings

DOI10.1016/S0019-3577(97)83350-2zbMath0876.16016MaRDI QIDQ1359383

O. Diekmann

Publication date: 30 November 1997

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

zbMATH Keywords

minimal left idealsfinite ringsFrobenius ringsfinite local ringsminimal right idealsArtinian infinite local ringsfinite left admissible rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Noncommutative local and semilocal rings, perfect rings (16L30) Artinian rings and modules (associative rings and algebras) (16P20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items

The homogeneous weight partition and its character-theoretic dual ⋮ On quantum stabilizer codes derived from local Frobenius rings ⋮ Narain CFTs from nonbinary stabilizer codes ⋮ Partitions of Frobenius rings induced by the homogeneous weight ⋮ MacWilliams extension theorems and the local-global property for codes over Frobenius rings ⋮ Quantum error-correcting codes over finite Frobenius rings ⋮ Relative one-weight linear codes ⋮ Extension theorems for various weight functions over Frobenius bimodules ⋮ Fourier-reflexive partitions and MacWilliams identities for additive codes

Cites Work

• A field-like property of finite rings
• Classification of not commutative rings with identity of order dividing \(p^ 4\)
• Finite Dimensional Right Duo Algebras are Duo
• Unnamed Item
• Unnamed Item
• Unnamed Item