Complex structures in real algebras. I. Two-dimensional commutative case

Zalman Balanov; Yakov Krasnov

doi:10.1081/agb-120022810

Complex structures in real algebras. I. Two-dimensional commutative case

Zalman Balanov
, Yakov Krasnov

Department of Mathematics

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

10 Scopus citations

Abstract

We study complex structures in real two-dimensional commutative algebras and show their connection with homotopy properties of the multiplications. An application to the Riccati equation in rank three algebras is also discussed.

Original language	English
Pages (from-to)	4571-4609
Number of pages	39
Journal	Communications in Algebra
Volume	31
Issue number	9
DOIs	https://doi.org/10.1081/agb-120022810
State	Published - 1 Sep 2003

Keywords

Complex structures
Non-associative algebras
Polynomial equations in algebra
Quadratic maps

Access to Document

10.1081/agb-120022810

Cite this

@article{e9a8b6932f2e444da999a358970f3d3e,

title = "Complex structures in real algebras. I. Two-dimensional commutative case",

abstract = "We study complex structures in real two-dimensional commutative algebras and show their connection with homotopy properties of the multiplications. An application to the Riccati equation in rank three algebras is also discussed.",

keywords = "Complex structures, Non-associative algebras, Polynomial equations in algebra, Quadratic maps",

author = "Zalman Balanov and Yakov Krasnov",

year = "2003",

month = sep,

day = "1",

doi = "10.1081/agb-120022810",

language = "אנגלית",

volume = "31",

pages = "4571--4609",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "9",

}

TY - JOUR

T1 - Complex structures in real algebras. I. Two-dimensional commutative case

AU - Balanov, Zalman

AU - Krasnov, Yakov

PY - 2003/9/1

Y1 - 2003/9/1

N2 - We study complex structures in real two-dimensional commutative algebras and show their connection with homotopy properties of the multiplications. An application to the Riccati equation in rank three algebras is also discussed.

AB - We study complex structures in real two-dimensional commutative algebras and show their connection with homotopy properties of the multiplications. An application to the Riccati equation in rank three algebras is also discussed.

KW - Complex structures

KW - Non-associative algebras

KW - Polynomial equations in algebra

KW - Quadratic maps

UR - https://www.scopus.com/pages/publications/0042383468

U2 - 10.1081/agb-120022810

DO - 10.1081/agb-120022810

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0042383468

SN - 0092-7872

VL - 31

SP - 4571

EP - 4609

JO - Communications in Algebra

JF - Communications in Algebra

IS - 9

ER -

Complex structures in real algebras. I. Two-dimensional commutative case

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this