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

Oliver W. Gnilke; Marcus Greferath; Thomas Honold; Jay A. Wood; Jens Zumbraegel

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 Zumbraegel

^*Tämän työn vastaava kirjoittaja

University of Passau
Zhejiang University
Western Michigan University

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussa › Conference article in proceedings › Scientific › vertaisarvioitu

5 Viittaukset (Web of Science)

229 Lataukset (Pure)

Abstrakti

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.

Alkuperäiskieli	Englanti
Otsikko	Rings, Modules and Codes
Toimittajat	A Leroy, C Lomp, S LopezPermouth, F Oggier
Kustantaja	American Mathematical Society
Sivut	117-129
Sivumäärä	13
ISBN (elektroninen)	978-1-4704-5237-7
ISBN (painettu)	978-1-4704-4104-3
DOI - pysyväislinkit	https://doi.org/10.1090/conm/727/14629
Tila	Julkaistu - 2019
OKM-julkaisutyyppi	A4 Artikkeli konferenssijulkaisussa
Tapahtuma	International Conference on Noncommutative Rings and their Applications - Lens, Ranska Kesto: 12 kesäk. 2017 → 15 kesäk. 2017 Konferenssinumero: 5

Julkaisusarja

Nimi	Contemporary Mathematics
Kustantaja	AMER MATHEMATICAL SOC
Vuosikerta	727
ISSN (painettu)	0271-4132

Conference

Conference	International Conference on Noncommutative Rings and their Applications
Maa/Alue	Ranska
Kaupunki	Lens
Ajanjakso	12/06/2017 → 15/06/2017

Pääsy asiakirjaan

10.1090/conm/727/14629

SCI_Gnilke_Greferath_et.al_The_Extension_Theorem.paperAccepted author manuscript, 211 KB

Siteeraa tätä

Gnilke, O. W., Greferath, M., Honold, T., Wood, J. A., & Zumbraegel, J. (2019). The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules. teoksessa A. Leroy, C. Lomp, S. LopezPermouth, & F. Oggier (Toimittajat), Rings, Modules and Codes (Sivut 117-129). (Contemporary Mathematics; Vuosikerta 727). American Mathematical Society. https://doi.org/10.1090/conm/727/14629

@inproceedings{a7b087e857174a38a96306f7f8897ad9,

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.",

keywords = "FINITE, MODULES, CODES, EQUIVALENCE",

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

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 = "A Leroy and C Lomp and S LopezPermouth and F Oggier",

booktitle = "Rings, Modules and Codes",

address = "United States",

note = "International Conference on Noncommutative Rings and their Applications ; Conference date: 12-06-2017 Through 15-06-2017",

}

Gnilke, OW, Greferath, M, Honold, T, Wood, JA & Zumbraegel, J 2019, The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules. julkaisussa A Leroy, C Lomp, S LopezPermouth & F Oggier (toim), Rings, Modules and Codes. Contemporary Mathematics, Vuosikerta 727, American Mathematical Society, Sivut 117-129, International Conference on Noncommutative Rings and their Applications, Lens, Ranska, 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. toim. / A Leroy; C Lomp; S LopezPermouth; F Oggier. American Mathematical Society, 2019. s. 117-129 (Contemporary Mathematics; Vuosikerta 727).

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussa › Conference article in proceedings › Scientific › vertaisarvioitu

TY - GEN

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

AU - Gnilke, Oliver W.

AU - Greferath, Marcus

AU - Honold, Thomas

AU - Wood, Jay A.

AU - Zumbraegel, Jens

N1 - Conference code: 5

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.

KW - FINITE

KW - MODULES

KW - CODES

KW - EQUIVALENCE

U2 - 10.1090/conm/727/14629

DO - 10.1090/conm/727/14629

M3 - Conference article in proceedings

SN - 978-1-4704-4104-3

T3 - Contemporary Mathematics

SP - 117

EP - 129

BT - Rings, Modules and Codes

A2 - Leroy, A

A2 - Lomp, C

A2 - LopezPermouth, S

A2 - Oggier, F

PB - American Mathematical Society

T2 - International Conference on Noncommutative Rings and their Applications

Y2 - 12 June 2017 through 15 June 2017

ER -

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

Abstrakti

Julkaisusarja

Conference

Pääsy asiakirjaan

Sormenjälki

Siteeraa tätä