Standard

Jordan algebras admitting derivations with invertible values. / Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury.

In: Communications in Algebra, Vol. 46, No. 1, 02.01.2018, p. 69-81.

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

Harvard

Kaygorodov, I, Lopatin, A & Popov, Y 2018, 'Jordan algebras admitting derivations with invertible values', Communications in Algebra, vol. 46, no. 1, pp. 69-81. https://doi.org/10.1080/00927872.2017.1283417

APA

Kaygorodov, I., Lopatin, A., & Popov, Y. (2018). Jordan algebras admitting derivations with invertible values. Communications in Algebra, 46(1), 69-81. https://doi.org/10.1080/00927872.2017.1283417

Vancouver

Kaygorodov I, Lopatin A, Popov Y. Jordan algebras admitting derivations with invertible values. Communications in Algebra. 2018 Jan 2;46(1):69-81. doi: 10.1080/00927872.2017.1283417

Author

Kaygorodov, Ivan ; Lopatin, Artem ; Popov, Yury. / Jordan algebras admitting derivations with invertible values. In: Communications in Algebra. 2018 ; Vol. 46, No. 1. pp. 69-81.

BibTeX

@article{3ef4d12006ac48e68a0a66c9a142b699,
title = "Jordan algebras admitting derivations with invertible values",
abstract = "The notion of a derivation with invertible values as a derivation of ring with unity that only takes multiplicatively invertible or zero values appeared in a paper of Bergen, Herstein and Lanski, in which they determined the structure of associative rings that admit derivations with invertible values. Later, the results of this paper were generalized in many cases, for example, for generalized derivations, associative superalgebras, alternative algebras and many others. The present work is dedicated to the description of all Jordan algebras admitting derivations with invertible values.",
keywords = "Derivation, Jordan algebra",
author = "Ivan Kaygorodov and Artem Lopatin and Yury Popov",
year = "2018",
month = jan,
day = "2",
doi = "10.1080/00927872.2017.1283417",
language = "English",
volume = "46",
pages = "69--81",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Jordan algebras admitting derivations with invertible values

AU - Kaygorodov, Ivan

AU - Lopatin, Artem

AU - Popov, Yury

PY - 2018/1/2

Y1 - 2018/1/2

N2 - The notion of a derivation with invertible values as a derivation of ring with unity that only takes multiplicatively invertible or zero values appeared in a paper of Bergen, Herstein and Lanski, in which they determined the structure of associative rings that admit derivations with invertible values. Later, the results of this paper were generalized in many cases, for example, for generalized derivations, associative superalgebras, alternative algebras and many others. The present work is dedicated to the description of all Jordan algebras admitting derivations with invertible values.

AB - The notion of a derivation with invertible values as a derivation of ring with unity that only takes multiplicatively invertible or zero values appeared in a paper of Bergen, Herstein and Lanski, in which they determined the structure of associative rings that admit derivations with invertible values. Later, the results of this paper were generalized in many cases, for example, for generalized derivations, associative superalgebras, alternative algebras and many others. The present work is dedicated to the description of all Jordan algebras admitting derivations with invertible values.

KW - Derivation

KW - Jordan algebra

UR - http://www.scopus.com/inward/record.url?scp=85027356803&partnerID=8YFLogxK

U2 - 10.1080/00927872.2017.1283417

DO - 10.1080/00927872.2017.1283417

M3 - Article

AN - SCOPUS:85027356803

VL - 46

SP - 69

EP - 81

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 1

ER -

ID: 12081329