noetherian ring in Hindi - noetherian ring meaning in Hindi

	1.	Consequently, an irreducible ideal of a Noetherian ring is primary.
	2.	A Noetherian ring does not necessarily have a dualizing module.
	3.	The integers, however, form a Noetherian ring which is not Artinian.
	4.	The decomposition does not hold in general for non-commutative Noetherian rings.
	5.	This is sufficient to guarantee that a right-Noetherian ring is right Goldie.
	6.	The Krull intersection theorem says that this cannot happen for a Noetherian ring .)
	7.	It has only been proven for special types of Noetherian rings, so far.
	8.	It has led to a better understanding of noncommutative rings, especially noncommutative Noetherian rings.
	9.	In a right noetherian rings; the result is known as Levitzky's theorem.
	10.	It is very hard to construct examples of Noetherian rings that are not universally catenary.

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noetherian ring meaning in Hindi