论文标题

更高的吻术语

Higher Kiss Terms

论文作者

Moorhead, Andrew

论文摘要

我们表明,模块化术语条件较高的换向器等于模块化高压符。结果,我们得出了HC8可用于模块化品种的新证明。接下来,我们为模块化品种开发了一个程序,用于产生表征超强器的较高维度的一致性。此过程使我们能够证明每个模块化品种都有一个无限的顺序,我们称之为较高的尺寸接吻项。我们使用这些结果将Opršal定理的范围从可透明的品种扩展到模块化品种。

We show that the modular term condition higher commutator is equal to the modular hypercommutator. As a consequence, we arrive at a new proof that HC8 holds for modular varieties. Next, we develop a procedure for a modular variety for producing the higher dimensional congruences that characterize the hypercommutator. This procedure allows us to demonstrate that every modular variety has an infinite sequence of what we call higher dimensional Kiss terms. We use these results to extend the scope of a theorem of Opršal from permutable varieties to modular varieties.

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