noetherian ring वाक्य
उदाहरण वाक्य
मोबाइल
- Most of them coincide with the Krull dimension for Noetherian rings, but can differ for non-Noetherian rings.
- Most of them coincide with the Krull dimension for Noetherian rings, but can differ for non-Noetherian rings.
- Over a Noetherian ring, every injective module is the direct sum of ( uniquely determined ) indecomposable injective modules.
- I would also endorse keeping " Noetherian rings "-how many people have a mathematical concept named after them?
- Therefore, for noncommutative Noetherian rings, these two versions coincide and one is justified in talking about the global dimension.
- In fact, this can be generalized to right noetherian rings; this result is known as Levitzky's theorem.
- Since PID's are Noetherian rings, this can be seen as a manifestation of the Lasker-Noether theorem.
- All Dedekind domains of characteristic 0 and all local Noetherian rings of dimension at most 1 are J-2 rings.
- By Hilbert's basis theorem and some elementary properties of Noetherian rings, every affine or projective coordinate ring is Noetherian.
- A ring is left Noetherian if and only if all its left ideals are finitely generated; analogously for right Noetherian rings.
- For the special case of ideals it states that every ideal of a Noetherian ring is a finite intersection of primary ideals.
- In general, a Noetherian ring is called a Cohen Macaulay ring if the localizations at all maximal ideals are Cohen Macaulay.
- For example, a ring in which there is no strictly increasing infinite chain of left ideals is called a left Noetherian ring.
- Noether gave an example of a non-commutative Noetherian ring with a right ideal that is not an intersection of primary ideals.
- For example, finite direct sums of Noetherian rings are Noetherian, as is the ring of formal power series over a Noetherian ring.
- For example, finite direct sums of Noetherian rings are Noetherian, as is the ring of formal power series over a Noetherian ring.
- For a Noetherian ring " R ", finitely generated, finitely presented, and coherent are equivalent conditions on a module.
- The Lasker Noether theorem for modules states every submodule of a finitely generated module over a Noetherian ring is a finite intersection of primary submodules.
- Since k [ x _ 1, \ ldots, x _ n ] is a Noetherian ring, there exists an integer m such that
- In particular, \ operatorname { Spec } A is a noetherian scheme if and only if " A " is a noetherian ring.
noetherian ring sentences in Hindi. What are the example sentences for noetherian ring? noetherian ring English meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.