# Definitions for polynomial ringpoly·no·mi·al ring

### Freebase(0.00 / 0 votes)Rate this definition:

1. Polynomial ring

In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the Hilbert basis theorem, to the construction of splitting fields, and to the understanding of a linear operator. Many important conjectures involving polynomial rings, such as Serre's problem, have influenced the study of other rings, and have influenced even the definition of other rings, such as group rings and rings of formal power series. A closely related notion is that of the ring of polynomial functions on a vector space.

1. Alex
US English
Daniel
British
Karen
Australian
Veena
Indian

### Numerology

1. Chaldean Numerology

The numerical value of polynomial ring in Chaldean Numerology is: 6

2. Pythagorean Numerology

The numerical value of polynomial ring in Pythagorean Numerology is: 9

## Translations for polynomial ring

### From our Multilingual Translation Dictionary

• பல்லுறுப்புக்கோவை வளையம்

### Translation

#### Find a translation for the polynomial ring definition in other languages:

Select another language:

• - Select -
• 简体中文 (Chinese - Simplified)
• 繁體中文 (Chinese - Traditional)
• Español (Spanish)
• Esperanto (Esperanto)
• 日本語 (Japanese)
• Português (Portuguese)
• Deutsch (German)
• العربية (Arabic)
• Français (French)
• Русский (Russian)
• ಕನ್ನಡ (Kannada)
• 한국어 (Korean)
• עברית (Hebrew)
• Gaeilge (Irish)
• Українська (Ukrainian)
• اردو (Urdu)
• Magyar (Hungarian)
• मानक हिन्दी (Hindi)
• Indonesia (Indonesian)
• Italiano (Italian)
• தமிழ் (Tamil)
• Türkçe (Turkish)
• తెలుగు (Telugu)
• ภาษาไทย (Thai)
• Tiếng Việt (Vietnamese)
• Čeština (Czech)
• Polski (Polish)
• Bahasa Indonesia (Indonesian)
• Românește (Romanian)
• Nederlands (Dutch)
• Ελληνικά (Greek)
• Latinum (Latin)
• Svenska (Swedish)
• Dansk (Danish)
• Suomi (Finnish)
• فارسی (Persian)
• ייִדיש (Yiddish)
• հայերեն (Armenian)
• Norsk (Norwegian)
• English (English)

### Word of the Day

#### Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:

## Citation

#### Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"polynomial ring." Definitions.net. STANDS4 LLC, 2020. Web. 30 Nov. 2020. <https://www.definitions.net/definition/polynomial+ring>.

## Are we missing a good definition for polynomial ring? Don't keep it to yourself...

### Add to Chrome

Get instant definitions for any word that hits you anywhere on the web!

### Add to Firefox

Get instant definitions for any word that hits you anywhere on the web!

#### Alternative searches for polynomial ring:

Thanks for your vote! We truly appreciate your support.