Lying-Over Theorem on Left Commutative Rngs

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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.
8 pages

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Commutative Algebra, Rings and Algebras, 13A99

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http://salesiana.dossiersoluciones.com/handle/123456789/105094

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511643
 http://arxiv.org/abs/math/0511643

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arXiv