About: In Section 3.2 we shall study the special properties of a polynomial ring over a field; for the moment we note a property of polynomial rings which applies quite generally, the Hilbert basis theorem (after David Hilbert, 1862-1943):Theorem 3.3If R is any right Noetherian ring, the polynomial ring R[x] is again right Noetherian.

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: In Section 3.2 we shall study the special properties of a polynomial ring over a field; for the moment we note a property of polynomial rings which applies quite generally, the Hilbert basis theorem (after David Hilbert, 1862-1943):Theorem 3.3If R is any right Noetherian ring, the polynomial ring R[x] is again right Noetherian. Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : kaiko.getalp.org associated with source document(s)

Attributes	Values
rdf:value	In Section 3.2 we shall study the special properties of a polynomial ring over a field; for the moment we note a property of polynomial rings which applies quite generally, the Hilbert basis theorem (after David Hilbert, 1862-1943):Theorem 3.3If R is any right Noetherian ring, the polynomial ring R[x] is again right Noetherian. (en)
Bibliographic Citation	2000, Paul M. Cohn, Introduction to Ring Theory, Springer, page 106: (en)
is skos:example of	dbnary-eng:__ws_1_polynomial_ring__Noun__1

Faceted Search & Find service v1.16.118 as of Jul 22 2024

Alternative Linked Data Documents: iSPARQL | ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jul 22 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (125 GB total memory, 52 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software