TY - JOUR

T1 - A finite-dimensional singular superalgebra is algebraically generated

AU - Pchelintsev, S.

AU - Shashkov, O.

N1 - Export Date: 21 March 2024 CODEN: JALGA Адрес для корреспонденции: Shashkov, O.; St. Petersburg University, Russian Federation; эл. почта: o.v.shashkov@mail.ru Сведения о финансировании: Russian Science Foundation, RSF, 22-11-00081 Текст о финансировании 1: The research was supported by RSF (project No. 22-11-00081 ).

PY - 2024/5/1

Y1 - 2024/5/1

N2 - This article is the final one in the series of papers by the authors devoted to finite-dimensional singular (simple right-alternative with zero product in the even part) superalgebras. In previous papers, algebraically generated singular superalgebras were studied and it was proved that any such superalgebra has the structure of an extended double. In this article, we prove that any singular superalgebra is algebraically generated and, therefore, has the structure of an extended double. © 2024 Elsevier Inc.

AB - This article is the final one in the series of papers by the authors devoted to finite-dimensional singular (simple right-alternative with zero product in the even part) superalgebras. In previous papers, algebraically generated singular superalgebras were studied and it was proved that any such superalgebra has the structure of an extended double. In this article, we prove that any singular superalgebra is algebraically generated and, therefore, has the structure of an extended double. © 2024 Elsevier Inc.

KW - Right-alternative superalgebras

KW - Simple superalgebras

KW - Singular superalgebra

UR - https://www.mendeley.com/catalogue/805d4929-58fe-3ce3-ab18-4773229cd0d8/

U2 - 10.1016/j.jalgebra.2024.01.036

DO - 10.1016/j.jalgebra.2024.01.036

M3 - статья

VL - 645

SP - 86

EP - 93

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -