integral domain
integral domain noun: any nonzero commutative ring in which the product of nonzero elements is nonzero.
Noun
integral domain (plural integral domains)
- Any nonzero commutative ring in which the product of nonzero elements is nonzero.
- A ring R is an integral domain if and only if the polynomial ring R#91;x#93; is an integral domain.
- For any integral domain there can be derived an associated field of fractions.
- Synonyms:
- entire ring
integral domain meaning in Tamil
integral domain in Tamil
- எண் அரங்கம்
Synonyms of integral domain
- entire ring
Forms of integral domain
| plural | integral domains |
|---|
Questions about integral domain
- What does integral domain mean?
- Integral domain means any nonzero commutative ring in which the product of nonzero elements is nonzero.
- What is integral domain in Tamil?
- Integral domain in Tamil is எண் அரங்கம். See Integral domain meaning in Tamil.
- What part of speech is integral domain?
- Integral domain is a noun.
- What is the plural of integral domain?
- The plural of integral domain is integral domains.
Words near integral domain in the dictionary
Source and license
Adapted from Wiktionary: integral domain (page history and authors); integral domain (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “integral domain.” Word.ws, https://word.ws/integral_domain. Based on Wiktionary, CC BY-SA 4.0.