Classification of Naturally Graded Zinbiel Algebras with Characteristic Sequence Equal to (n–p, p)

J. K. Adashev; M. Ladra; B. A. Omirov

doi:10.1007/s11253-019-01693-w

Classification of Naturally Graded Zinbiel Algebras with Characteristic Sequence Equal to (n–p, p)

J. K. Adashev
, M. Ladra^*
, B. A. Omirov

^*Corresponding author for this work

National University of Uzbekistan named after Mirzo Ulugbek
University of Santiago de Compostela

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The present work continues our description of some classes of nilpotent Zinbiel algebras. We focus our attention on the investigation of Zinbiel algebras with restrictions imposed on the gradation and characteristic sequence. Namely, we propose a classification of naturally graded Zinbiel algebras with characteristic sequence equal to (n − p, p).

Original language	English
Pages (from-to)	985-1005
Number of pages	21
Journal	Ukrainian Mathematical Journal
Volume	71
Issue number	7
DOIs	https://doi.org/10.1007/s11253-019-01693-w
State	Published - 1 Dec 2019
Externally published	Yes

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title = "Classification of Naturally Graded Zinbiel Algebras with Characteristic Sequence Equal to (n–p, p)",

abstract = "The present work continues our description of some classes of nilpotent Zinbiel algebras. We focus our attention on the investigation of Zinbiel algebras with restrictions imposed on the gradation and characteristic sequence. Namely, we propose a classification of naturally graded Zinbiel algebras with characteristic sequence equal to (n − p, p).",

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AU - Adashev, J. K.

AU - Ladra, M.

AU - Omirov, B. A.

PY - 2019/12/1

Y1 - 2019/12/1

N2 - The present work continues our description of some classes of nilpotent Zinbiel algebras. We focus our attention on the investigation of Zinbiel algebras with restrictions imposed on the gradation and characteristic sequence. Namely, we propose a classification of naturally graded Zinbiel algebras with characteristic sequence equal to (n − p, p).

AB - The present work continues our description of some classes of nilpotent Zinbiel algebras. We focus our attention on the investigation of Zinbiel algebras with restrictions imposed on the gradation and characteristic sequence. Namely, we propose a classification of naturally graded Zinbiel algebras with characteristic sequence equal to (n − p, p).

UR - https://www.scopus.com/pages/publications/85075865287

U2 - 10.1007/s11253-019-01693-w

DO - 10.1007/s11253-019-01693-w

M3 - 文章

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SN - 0041-5995

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EP - 1005

JO - Ukrainian Mathematical Journal

JF - Ukrainian Mathematical Journal

IS - 7

ER -

Classification of Naturally Graded Zinbiel Algebras with Characteristic Sequence Equal to (n–p, p)

Abstract

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