Identities of the algebra O ⊗ O

Guy Blachar; Louis H. Rowen; Uzi Vishne

doi:10.1090/conm/785/15773

Identities of the algebra O ⊗ O

Guy Blachar
, Louis H. Rowen
, Uzi Vishne

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We find nonassociative polynomial identities of minimal degree, which is 7, for the algebras O ⊗ O and M₂(O), where O is the octonion algebra.

Original language	English
Title of host publication	Algebra and Coding Theory- Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, 2021 and Virtual Conference on Quadratic Forms, Rings and Codes, 2021
Editors	A. Leroy, S.K. Jain
Publisher	American Mathematical Society
Pages	35-45
Number of pages	11
ISBN (Print)	9781470468590
DOIs	https://doi.org/10.1090/conm/785/15773
State	Published - 2023
Event	Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Application VII, NCRA 2021, and Virtual Conference on Quadratic forms, rings and codes, QFRC 2021 - Virtual, Online Duration: 8 Jul 2021 → 8 Jul 2021

Publication series

Name	Contemporary Mathematics
Volume	785
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

Conference

Conference	Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Application VII, NCRA 2021, and Virtual Conference on Quadratic forms, rings and codes, QFRC 2021
City	Virtual, Online
Period	8/07/21 → 8/07/21

Bibliographical note

Publisher Copyright:
© 2023 American Mathematical Society.

Access to Document

10.1090/conm/785/15773

Cite this

Blachar, G., Rowen, L. H., & Vishne, U. (2023). Identities of the algebra O ⊗ O. In A. Leroy, & S. K. Jain (Eds.), Algebra and Coding Theory- Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, 2021 and Virtual Conference on Quadratic Forms, Rings and Codes, 2021 (pp. 35-45). (Contemporary Mathematics; Vol. 785). American Mathematical Society. https://doi.org/10.1090/conm/785/15773

Blachar, Guy ; Rowen, Louis H. ; Vishne, Uzi. / Identities of the algebra O ⊗ O. Algebra and Coding Theory- Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, 2021 and Virtual Conference on Quadratic Forms, Rings and Codes, 2021. editor / A. Leroy ; S.K. Jain. American Mathematical Society, 2023. pp. 35-45 (Contemporary Mathematics).

@inproceedings{d8e72b5d9fc24e7aa64181312f589f94,

title = "Identities of the algebra O ⊗ O",

abstract = "We find nonassociative polynomial identities of minimal degree, which is 7, for the algebras O ⊗ O and M2(O), where O is the octonion algebra.",

author = "Guy Blachar and Rowen, \{Louis H.\} and Uzi Vishne",

note = "Publisher Copyright: {\textcopyright} 2023 American Mathematical Society.; Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Application VII, NCRA 2021, and Virtual Conference on Quadratic forms, rings and codes, QFRC 2021 ; Conference date: 08-07-2021 Through 08-07-2021",

year = "2023",

doi = "10.1090/conm/785/15773",

language = "אנגלית",

isbn = "9781470468590",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "35--45",

editor = "A. Leroy and S.K. Jain",

booktitle = "Algebra and Coding Theory- Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, 2021 and Virtual Conference on Quadratic Forms, Rings and Codes, 2021",

address = "ארצות הברית",

}

Blachar, G, Rowen, LH & Vishne, U 2023, Identities of the algebra O ⊗ O. in A Leroy & SK Jain (eds), Algebra and Coding Theory- Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, 2021 and Virtual Conference on Quadratic Forms, Rings and Codes, 2021. Contemporary Mathematics, vol. 785, American Mathematical Society, pp. 35-45, Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Application VII, NCRA 2021, and Virtual Conference on Quadratic forms, rings and codes, QFRC 2021, Virtual, Online, 8/07/21. https://doi.org/10.1090/conm/785/15773

Identities of the algebra O ⊗ O. / Blachar, Guy; Rowen, Louis H.; Vishne, Uzi.
Algebra and Coding Theory- Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, 2021 and Virtual Conference on Quadratic Forms, Rings and Codes, 2021. ed. / A. Leroy; S.K. Jain. American Mathematical Society, 2023. p. 35-45 (Contemporary Mathematics; Vol. 785).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Identities of the algebra O ⊗ O

AU - Blachar, Guy

AU - Rowen, Louis H.

AU - Vishne, Uzi

PY - 2023

Y1 - 2023

N2 - We find nonassociative polynomial identities of minimal degree, which is 7, for the algebras O ⊗ O and M2(O), where O is the octonion algebra.

AB - We find nonassociative polynomial identities of minimal degree, which is 7, for the algebras O ⊗ O and M2(O), where O is the octonion algebra.

UR - https://www.scopus.com/pages/publications/85163117568

U2 - 10.1090/conm/785/15773

DO - 10.1090/conm/785/15773

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???

AN - SCOPUS:85163117568

SN - 9781470468590

T3 - Contemporary Mathematics

SP - 35

EP - 45

BT - Algebra and Coding Theory- Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, 2021 and Virtual Conference on Quadratic Forms, Rings and Codes, 2021

A2 - Leroy, A.

A2 - Jain, S.K.

PB - American Mathematical Society

T2 - Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Application VII, NCRA 2021, and Virtual Conference on Quadratic forms, rings and codes, QFRC 2021

Y2 - 8 July 2021 through 8 July 2021

ER -

Blachar G, Rowen LH, Vishne U. Identities of the algebra O ⊗ O. In Leroy A, Jain SK, editors, Algebra and Coding Theory- Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, 2021 and Virtual Conference on Quadratic Forms, Rings and Codes, 2021. American Mathematical Society. 2023. p. 35-45. (Contemporary Mathematics). doi: 10.1090/conm/785/15773

Identities of the algebra O ⊗ O

Abstract

Publication series

Conference

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this