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Lying-Over Theorem on Left Commutative Rngs

Commutative Algebra 2007-05-23 v1 Rings and Algebras

Abstract

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.

Keywords

Cite

@article{arxiv.math/0511643,
  title  = {Lying-Over Theorem on Left Commutative Rngs},
  author = {Keqin Liu},
  journal= {arXiv preprint arXiv:math/0511643},
  year   = {2007}
}

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8 pages