The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules

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openAccess

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Volume Title

A4 Artikkeli konferenssijulkaisussa

Date

2019

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Mcode

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Language

en

Pages

13
117-129

Series

Rings, Modules and Codes, Contemporary Mathematics, Volume 727

Abstract

We give a sufficient condition for a bi-invariant weight on a Frobenius bimodule to satisfy the extension property. This condition applies to bi-invariant weights on a finite Frobenius ring as a special case. The complex-valued functions on a Frobenius bimodule are viewed as a module over the complex monoid algebra of the multiplicative monoid of the coefficient ring.

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Keywords

FINITE, MODULES, CODES, EQUIVALENCE

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Citation

Gnilke, O W, Greferath, M, Honold, T, Wood, J A & Zumbraegel, J 2019, The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules . in A Leroy, C Lomp, S LopezPermouth & F Oggier (eds), Rings, Modules and Codes . Contemporary Mathematics, vol. 727, American Mathematical Society, pp. 117-129, International Conference on Noncommutative Rings and their Applications, Lens, France, 12/06/2017 . https://doi.org/10.1090/conm/727/14629