Lying-Over Theorem on Left Commutative Rngs

Details Lying-Over Theorem on Left Commutative Rngs Lying-Over Theorem on Left Commutative Rngs

2005-11-26

arxiv.org/abs/math/0511643v1

Mathematics

Commutative Algebra

8 pages

Scientific paper

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.

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