论文标题

从完全乘法晶格的角度来看,代数结构

Algebraic structures from the point of view of complete multiplicative lattices

论文作者

Facchini, Alberto

论文摘要

Facchini,de Giovanni和Trombetti在特定的组中研究了Facchini,Finocchiarro和Janelidze最近发现的乘法晶格的一般结果。在本文中,我们证明这些结果不仅适用于组的所有正常亚组的乘法晶格,而且还适用于更一般的乘法晶格。因此,它们可以应用于其他代数结构,例如将其应用于牙套。

General results on multiplicative lattices found recently by Facchini, Finocchiaro and Janelidze have been studied in the particular case of groups by Facchini, de Giovanni and Trombetti. In this paper we prove that these results hold not only for the multiplicative lattices of all normal subgroups of a group, but also for much more general multiplicative lattices. Therefore they can be applied to other algebraic structures, for instance to braces.

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