In this article we study thick ideals defined by periodic self maps in the stable motivic homotopy category over \({\mathbb {C}}\). In addition, we extend some results of Ruth Joachimi about the relation between thick ideals defined by motivic Morava K-theories and the preimages of the thick ideals in the stable homotopy category under Betti realization.

中文翻译：

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奇数素数 $${\mathbb {C}}$$ 上稳定动机同伦范畴中的周期性自映射和厚理想

在本文中，我们研究了\({\mathbb {C}}\)上稳定动机同伦类别中的周期性自映射定义的厚理想。此外，我们扩展了Ruth Joachimi关于动机Morava K理论定义的厚理想与Betti实现下稳定同伦范畴中厚理想的原像之间关系的一些结果。