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

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationRings, Modules and Codes
EditorsAndré Leroy, Christian Lomp, Sergio López-Permouth, Frédérique Oggier
Number of pages13
PublisherAmerican Mathematical Society
Publication date2019
Pages117-129
ISBN (Print)978-1-4704-4104-3
ISBN (Electronic)978-1-4704-5237-7
DOIs
Publication statusPublished - 2019
Externally publishedYes
Event5th International Conference on Noncommutative Rings and their Applications, 2017 - Arras, France
Duration: 12 Jun 201715 Jun 2017

Conference

Conference5th International Conference on Noncommutative Rings and their Applications, 2017
Country/TerritoryFrance
CityArras
Period12/06/201715/06/2017
SeriesContemporary Mathematics
Volume727
ISSN0271-4132

Bibliographical note

Publisher Copyright:
© 2019 American Mathematical Society.

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