Frobenius-Artin algebras and infinite linear codes

DOI10.1016/j.jpaa.2015.05.030zbMath1358.94089OpenAlexW1803495500MaRDI QIDQ888834

Miodrag Cristian Iovanov

Publication date: 2 November 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.05.030

zbMATH Keywords

linear codesArtin algebraFrobenius algebrafinite ringquasi-Frobenius

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Quasi-Frobenius rings (16L60) General properties and structure of LCA groups (22B05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (4)

On incidence algebras and their representations ⋮ MacWilliams’ extension theorem for infinite rings ⋮ Some remarks on non projective Frobenius algebras and linear codes ⋮ On infinite MacWilliams rings and minimal injectivity conditions

Cites Work

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• A characterization of QF-algebras
• Self mini-injective rings
• On the number of types of finite dimensional Hopf algebras
• Mininjective rings
• Finite-ring combinatorics and MacWilliams' equivalence theorem
• On the equivalence of codes over finite rings
• Characters and the equivalence of codes
• \(K\)-theory and stable algebra
• On the equivalence of codes over rings and modules
• Locally compact groups
• Duality for modules over finite rings and applications to coding theory
• A linear construction for certain Kerdock and Preparata codes
• On finite unions of ideals and cosets
• TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS
• Generalized Frobenius Algebras and Hopf Algebras
• Code equivalence characterizes finite Frobenius rings
• Supplementary remarks on Frobeniusean algebras, I
• Every Linear Transformation is a Sum of Nonsingular Ones
• The structure of compact groups. A primer for the student -- a handbook for the expert
• Characterization of finite Frobenius rings

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