Non-cyclic algebras with n-central elements

Matzri Eliyah; Louis H. Rowen; Uzi Vishne

doi:10.1090/S0002-9939-2011-11236-X

Non-cyclic algebras with n-central elements

Matzri Eliyah, Louis H. Rowen, Uzi Vishne

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We construct, for any prime p, a non-cyclic central simple algebra of degree p² with p²-central elements. This construction answers a problem of Peter Roquette.

Original language	English
Pages (from-to)	513-518
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	140
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-2011-11236-X
State	Published - 1 Jan 2012

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

Access to Document

10.1090/S0002-9939-2011-11236-X

Cite this

@article{70a8a8ac40814d90b9c1f9ebc55d665e,

title = "Non-cyclic algebras with n-central elements",

abstract = "We construct, for any prime p, a non-cyclic central simple algebra of degree p2 with p2-central elements. This construction answers a problem of Peter Roquette.",

author = "Matzri Eliyah and Rowen, \{Louis H.\} and Uzi Vishne",

year = "2012",

month = jan,

day = "1",

doi = "10.1090/S0002-9939-2011-11236-X",

language = "الإنجليزيّة",

volume = "140",

pages = "513--518",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - Non-cyclic algebras with n-central elements

AU - Eliyah, Matzri

AU - Rowen, Louis H.

AU - Vishne, Uzi

PY - 2012/1/1

Y1 - 2012/1/1

N2 - We construct, for any prime p, a non-cyclic central simple algebra of degree p2 with p2-central elements. This construction answers a problem of Peter Roquette.

AB - We construct, for any prime p, a non-cyclic central simple algebra of degree p2 with p2-central elements. This construction answers a problem of Peter Roquette.

UR - http://www.scopus.com/inward/record.url?scp=82255186732&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-2011-11236-X

DO - 10.1090/S0002-9939-2011-11236-X

M3 - مقالة

SN - 0002-9939

VL - 140

SP - 513

EP - 518

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

Non-cyclic algebras with n-central elements

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this