On the second relative homology of Leibniz algebras

被引：0
|
作者：
Edalatzadeh, Behrouz [1 ]
Hosseini, Seyedeh Narges [2 ]
Salemkar, Ali Reza [2 ]
机构：
[1] Razi Univ, Fac Sci, Dept Math, Kermanshah, Iran
[2] Shahid Beheshti Univ, Fac Math Sci, Dept Math, Tehran, Iran
来源：
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2024年 / 17卷 / 01期
关键词：
nilpotent Leibniz algebra; second relative homology; cover; ABELIAN TENSOR PRODUCT; CENTRAL EXTENSIONS; CLASSIFICATION; MULTIPLIER; COVERS;
D O I：
10.32513/asetmj/1932200824015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the structure of the second relative homology and the relative stem cover of the direct sum of two pairs of Leibniz algebras are determined by means of the non-abelian tensor product of Leibniz algebras. We also characterize all pairs of finite -dimensional nilpotent Leibniz algebras such that dim( n) = n , dim( g / n) = m and dim( HL 2 ( g, n)) = n ( n + 2 m ) - 3.
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页码：57 / 69
页数：13
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