有关马尔策夫代数的扩张

  • 王贵栋
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  • 河北大学,数学与计算机学院,河北,保定,071002

网络出版日期: 2002-10-25

基金资助

河北省自然科学基金

On the Extension of Malcev Algebras

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Online published: 2002-10-25

摘要

给出了马尔策夫代数的一个标准扩张,并研究了马尔策夫代数及其扩张间的可解和幂零关系.

本文引用格式

王贵栋 . 有关马尔策夫代数的扩张[J]. 河北大学学报(自然科学版), 2002 , 22(4) : 385 -386 . DOI: 10.3969/j.issn.1000-1565.2002.04.019

Abstract

The main purpose of this paper is to give a standard extension of Malcev algebras,and investigate the relationship on solvability and nilpotency between a Malcev algebra and its extension algebra.

参考文献

[1] SAGLE A. Malcev algebras [J]. Transactions of the American Mathematical Society 1961, 101.
[2] KAZMIN E N. Malcav algebras and their representation [J]. Algebra and Logika 1968.
[3] Carlsson R. The first whitehead lemma for Malcev algebras [J]. Proceedings of the American Mathematical Society 1976, 58.
[4] KUZMIN E N. The locally nilpotent radical of a Malcev algebra satisfying the nth engel condition [J]. Doklady Akademii Nauk SSSR 1967, 177.
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