Lying-Over Theorem on Left Commutative Rngs
英文摘要：
We introduce the notion of a graded integral element, prove the counterpart of the lying-over theorem on commutative algebra in the context of left commutative rngs, and use the Hu-Liu product to select a class of noncommutative rings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
