### What does **polynomial ring** mean?

# Definitions for **polynomial ring**

poly·no·mi·al ring

#### Here are all the possible meanings and translations of the word **polynomial ring**.

### Freebase

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.

### How to say polynomial ring in sign language?

### Numerology

Chaldean Numerology

The numerical value of polynomial ring in Chaldean Numerology is:

**6**Pythagorean Numerology

The numerical value of polynomial ring in Pythagorean Numerology is:

**9**

### Images & Illustrations of polynomial ring

## Translations for **polynomial ring**

### From our Multilingual Translation Dictionary

- பல்லுறுப்புக்கோவை வளையம்Tamil

### Get even more translations for polynomial ring »

### 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)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Український (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)

#### Discuss these polynomial ring definitions with the community:

### Word of the Day

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

## Citation

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

"polynomial ring." *Definitions.net.* STANDS4 LLC, 2019. Web. 26 May 2019. <https://www.definitions.net/definition/polynomial+ring>.