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

doi:10.1090/conm/727/14629

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

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

4 Citationer (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.

Originalsprog	Engelsk
Titel	Rings, Modules and Codes
Redaktører	André Leroy, Christian Lomp, Sergio López-Permouth, Frédérique Oggier
Antal sider	13
Forlag	American Mathematical Society
Publikationsdato	2019
Sider	117-129
ISBN (Trykt)	978-1-4704-4104-3
ISBN (Elektronisk)	978-1-4704-5237-7
DOI	https://doi.org/10.1090/conm/727/14629
Status	Udgivet - 2019
Udgivet eksternt	Ja
Begivenhed	5th International Conference on Noncommutative Rings and their Applications, 2017 - Arras, Frankrig Varighed: 12 jun. 2017 → 15 jun. 2017

Konference

Konference	5th International Conference on Noncommutative Rings and their Applications, 2017
Land/Område	Frankrig
By	Arras
Periode	12/06/2017 → 15/06/2017

Navn	Contemporary Mathematics
Vol/bind	727
ISSN	0271-4132

Bibliografisk note

Publisher Copyright:
© 2019 American Mathematical Society.

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10.1090/conm/727/14629

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title = "The extension theorem for bi-invariant weights over frobenius rings and frobenius bimodules",

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.",

author = "Gnilke, {Oliver W.} and Marcus Greferath and Thomas Honold and Wood, {Jay A.} and Jens Zumbr{\"a}gel",

note = "Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.; 5th International Conference on Noncommutative Rings and their Applications, 2017 ; Conference date: 12-06-2017 Through 15-06-2017",

year = "2019",

doi = "10.1090/conm/727/14629",

language = "English",

isbn = "978-1-4704-4104-3 ",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "117--129",

editor = "Andr{\'e} Leroy and Christian Lomp and Sergio L{\'o}pez-Permouth and Fr{\'e}d{\'e}rique Oggier",

booktitle = "Rings, Modules and Codes",

address = "United States",

}

Gnilke, OW, Greferath, M, Honold, T, Wood, JA & Zumbrägel, J 2019, The extension theorem for bi-invariant weights over frobenius rings and frobenius bimodules. i A Leroy, C Lomp, S López-Permouth & F Oggier (red), Rings, Modules and Codes. American Mathematical Society, Contemporary Mathematics, bind 727, s. 117-129, 5th International Conference on Noncommutative Rings and their Applications, 2017, Arras, Frankrig, 12/06/2017. https://doi.org/10.1090/conm/727/14629

The extension theorem for bi-invariant weights over frobenius rings and frobenius bimodules. / Gnilke, Oliver W.; Greferath, Marcus; Honold, Thomas et al.
Rings, Modules and Codes. red. / André Leroy; Christian Lomp; Sergio López-Permouth; Frédérique Oggier. American Mathematical Society, 2019. s. 117-129 (Contemporary Mathematics, Bind 727).

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

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T1 - The extension theorem for bi-invariant weights over frobenius rings and frobenius bimodules

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AU - Greferath, Marcus

AU - Honold, Thomas

AU - Wood, Jay A.

AU - Zumbrägel, Jens

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

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U2 - 10.1090/conm/727/14629

DO - 10.1090/conm/727/14629

M3 - Article in proceeding

AN - SCOPUS:85092386607

SN - 978-1-4704-4104-3

T3 - Contemporary Mathematics

SP - 117

EP - 129

BT - Rings, Modules and Codes

A2 - Leroy, André

A2 - Lomp, Christian

A2 - López-Permouth, Sergio

A2 - Oggier, Frédérique

PB - American Mathematical Society

T2 - 5th International Conference on Noncommutative Rings and their Applications, 2017

Y2 - 12 June 2017 through 15 June 2017

ER -

The extension theorem for bi-invariant weights over frobenius rings and frobenius bimodules

Abstract

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