Volume 31, Issue 3
A Note on Zinbiel Algebras

Junna Ni

Commun. Math. Res., 31 (2015), pp. 261-266.

Published online: 2021-05

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  • Abstract

In this paper, we consider the decomposition of Zinbiel algebras with a special bilinear form which are called quadratic Zinbiel algebras. We obtain that the decomposition into irreducible ideals of a quadratic Zinbiel algebra is unique under an isometry.

  • Keywords

Zinbiel algebra, quadratic, decomposition, isometry.

  • AMS Subject Headings

17A30, 17A32

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-31-261, author = {Ni , Junna}, title = {A Note on Zinbiel Algebras}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {3}, pages = {261--266}, abstract = {

In this paper, we consider the decomposition of Zinbiel algebras with a special bilinear form which are called quadratic Zinbiel algebras. We obtain that the decomposition into irreducible ideals of a quadratic Zinbiel algebra is unique under an isometry.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.03.08}, url = {http://global-sci.org/intro/article_detail/cmr/18928.html} }
TY - JOUR T1 - A Note on Zinbiel Algebras AU - Ni , Junna JO - Communications in Mathematical Research VL - 3 SP - 261 EP - 266 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.03.08 UR - https://global-sci.org/intro/article_detail/cmr/18928.html KW - Zinbiel algebra, quadratic, decomposition, isometry. AB -

In this paper, we consider the decomposition of Zinbiel algebras with a special bilinear form which are called quadratic Zinbiel algebras. We obtain that the decomposition into irreducible ideals of a quadratic Zinbiel algebra is unique under an isometry.

Junna Ni. (2021). A Note on Zinbiel Algebras. Communications in Mathematical Research . 31 (3). 261-266. doi:10.13447/j.1674-5647.2015.03.08
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