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 language | English |
---|---|
Title of host publication | Rings, Modules and Codes |
Editors | André Leroy, Christian Lomp, Sergio López-Permouth, Frédérique Oggier |
Number of pages | 13 |
Publisher | American Mathematical Society |
Publication date | 2019 |
Pages | 117-129 |
ISBN (Print) | 978-1-4704-4104-3 |
ISBN (Electronic) | 978-1-4704-5237-7 |
DOIs | |
Publication status | Published - 2019 |
Externally published | Yes |
Event | 5th International Conference on Noncommutative Rings and their Applications, 2017 - Arras, France Duration: 12 Jun 2017 → 15 Jun 2017 |
Conference
Conference | 5th International Conference on Noncommutative Rings and their Applications, 2017 |
---|---|
Country/Territory | France |
City | Arras |
Period | 12/06/2017 → 15/06/2017 |
Series | Contemporary Mathematics |
---|---|
Volume | 727 |
ISSN | 0271-4132 |
Bibliographical note
Publisher Copyright:© 2019 American Mathematical Society.