论文标题

代数和封闭操作类

Classes of Algebras and closure operations

论文作者

Gutierrez, I. S., Torresblanca-Badillo, Anselmo, Towers, David A.

论文摘要

阶级和封闭操作的演算已被证明是群体理论中的有用工具,并导致了有限可溶性群体研究的深刻理论。最近,在各种代数,例如Lie,Leibniz和Malcev代数中,平行理论开始开发。本文旨在研究这些后来的理论可以推广到所有非缔合代数的种类的程度。

The calculus of classes and closure operations has proved to be a useful tool in group theory and has led to a deep theory in the study of finite soluble groups. More recently, parallel theories have started to be developed in various varieties of algebras, such as Lie, Leibniz, and Malcev algebras. This paper seeks to investigate the extent to which these later theories can be generalised to the variety of all non-associative algebras.

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