The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules
The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules
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Frobenius 环和 Frobenius 双模上双不变权重的可拓定理
DOI：
10.1090/conm/727/14629
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
J. Zumbrägel
中科院分区：
文献类型：
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作者：
O. W. Gnilke;M. Greferath;T. Honold;Jay A. Wood;J. Zumbrägel
给出了Frobenius双模上的双不变权满足扩张性质的一个充分条件。这个条件适用于有限Frobenius环上的双不变权作为特例。Frobenius双模上的复值函数被看作是系数环的乘法半群的半群环上的模。
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.