A reduction theorem for the existence of \(\ast\)-clean finite group rings

DOI10.1016/j.ffa.2020.101674zbMath1437.16019OpenAlexW3014169987MaRDI QIDQ1987115

Bocong Chen, Jing Huang

Publication date: 9 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2020.101674

zbMATH Keywords

2-adic valuation\(\ast\)-clean group ringself-orthogonal abelian group code

Mathematics Subject Classification ID

Group rings (16S34) Conditions on elements (16U99)

Related Items (1)

On \(\ast\)-clean group rings over finite fields

Cites Work

• Existence of cyclic self-orthogonal codes: a note on a result of Vera Pless
• \(*\)-clean rings; some clean and almost clean Baer \(*\)-rings and von Neumann algebras.
• The minimum Hamming distances of irreducible cyclic codes
• The primitive idempotents and weight distributions of irreducible constacyclic codes
• Primitive idempotents of irreducible cyclic codes and self-dual cyclic codes over Galois rings
• Existence conditions for self-orthogonal negacyclic codes over finite fields
• New \(\ast\)-clean finite group rings under the conjugate involution
• Irreducible cyclic codes of length \(4p^n\) and \(8p^n\)
• On *-clean non-commutative group rings
• Lifting Idempotents and Exchange Rings
• On ∗-clean group rings over abelian groups
• ∗-Cleanness of finite group rings
• On *-Clean Group Rings II
• A class of minimal cyclic codes over finite fields

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