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The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules
November 27, 2017 Β· Declared Dead Β· π Contemporary Mathematics
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Authors
Oliver W. Gnilke, Marcus Greferath, Thomas Honold, Jay A. Wood, Jens ZumbrΓ€gel
arXiv ID
1711.09939
Category
math.RA
Cross-listed
cs.IT
Citations
8
Venue
Contemporary Mathematics
Last Checked
3 months ago
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 semigroup ring of the multiplicative semigroup of the coefficient ring.
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