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The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules (1711.09939v1)

Published 27 Nov 2017 in math.RA, cs.IT, and math.IT

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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