Non-associative central extensions of null-filiform associative algebras

被引：23

作者：

Kaygorodov, Ivan ^{[1
,2
]}

Lopes, Samuel A. ^{[3
]}

Paez-Guillan, Pilar ^{[4
]}

机构：

[1] Univ Fed ABC, CMCC, Santo Andre, SP, Brazil

[2] Siberian Fed Univ, Krasnoyarsk, Russia

[3] Univ Porto, Fac Ciencias, CMUP, Rua Campo Alegre 687, P-4169007 Porto, Portugal

[4] Univ Santiago de Compostela, IMAT, Santiago De Compostela, Spain

来源：

JOURNAL OF ALGEBRA | 2020年 / 560卷

基金：

俄罗斯科学基金会;

关键词：

Central extension; Algebraic classification; Nilpotent algebras; Null-filiform algebra; GEOMETRIC CLASSIFICATION; MALCEV ALGEBRAS; HNN-EXTENSIONS; LIE-ALGEBRAS; FIELDS;

D O I：

10.1016/j.jalgebra.2020.06.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give the algebraic classification of alternative, left alternative, Jordan, bicommutative, left commutative, assosymmetric, Novikov and left symmetric central extensions of null-filiform associative algebras. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：1190 / 1210

页数：21

共 25 条

[1] The algebraic and geometric classification of nilpotent binary Lie algebras [J].

Abdelwahab, Hani ;

Jesus Calderon, Antonio ;

Kaygorodov, Ivan .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2019, 29 (06) :1113-1129

[2] Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras [J].

Adashev, J. K. ;

Camacho, L. M. ;

Omirov, B. A. .

JOURNAL OF ALGEBRA, 2017, 479 :461-486

[3]

Burde D, 2009, CONTEMP MATH, V491, P125

[4] The classification of n-dimensional anticommutative algebras with (n-3)-dimensional annihilator [J].

Calderon, Antonio Jesus ;

Ouaridi, Amir Fernandez ;

Kaygorodov, Ivan .

COMMUNICATIONS IN ALGEBRA, 2019, 47 (01) :173-181

[5] Central extensions of filiform Zinbiel algebras [J].

Camacho, Luisa M. ;

Karimjanov, Iqboljon ;

Kaygorodov, Ivan ;

Khudoyberdiyev, Abror .

LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (08) :1479-1495

[6] Six-dimensional nilpotent Lie algebras [J].

Cicalo, Serena ;

de Graaf, Willem A. ;

Schneider, Csaba .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (01) :163-189

[7] The classification of 5-dimensional p-nilpotent restricted Lie algebras over perfect fields, I [J].

Darijani, Iren ;

Usefi, Hamid .

JOURNAL OF ALGEBRA, 2016, 464 :97-140

[8] Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2 [J].

de Graaf, Willem A. .

JOURNAL OF ALGEBRA, 2007, 309 (02) :640-653

[9] Classification of nilpotent associative algebras of small dimension [J].

De Graaf, Willem A. .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2018, 28 (01) :133-161

[10] Filiform left-symmetric algebras [J].

Dekimpe, K ;

Ongenae, V .

GEOMETRIAE DEDICATA, 1999, 74 (02) :165-199

← 1 2 3 →