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Central extensions of filiform Zinbiel algebras
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2020-05-12 , DOI: 10.1080/03081087.2020.1764903 Luisa M. Camacho 1 , Iqboljon Karimjanov 2 , Ivan Kaygorodov 3 , Abror Khudoyberdiyev 4
中文翻译:
丝状 Zinbiel 代数的中心扩展
更新日期:2020-05-12
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2020-05-12 , DOI: 10.1080/03081087.2020.1764903 Luisa M. Camacho 1 , Iqboljon Karimjanov 2 , Ivan Kaygorodov 3 , Abror Khudoyberdiyev 4
Affiliation
ABSTRACT
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of an n-dimensional null-filiform Zinbiel algebra is isomorphic to an -dimensional null-filiform Zinbiel algebra. Moreover, we obtain all pairwise non isomorphic quasi-filiform Zinbiel algebras.
中文翻译:
丝状 Zinbiel 代数的中心扩展
摘要
在本文中,我们描述了所有复杂的零丝状和丝状 Zinbiel 代数的中心扩展(直到同构)。证明了一个n维零丝状 Zinbiel 代数的每个非分裂中心扩展都同构于维零丝状 Zinbiel 代数。此外,我们获得了所有成对的非同构准丝状Zinbiel代数。