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arXiv · 1711.09939

The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules

Oliver W. Gnilke·Marcus Greferath·Thomas Honold·Jay A. Wood·Jens Zumbrägel
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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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Oliver W. Gnilke, Marcus Greferath, Thomas Honold, Jay A. Wood, Jens Zumbrägel. 2017-11-27. The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules. https://doi.org/10.1090/conm%2F727%2F14629

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