field of quotients meaning in Tamil

Tamil words for field of quotients

ஈவு புலம்

English meaning of field of quotients

1. noun A field all of whose elements can be represented as ordered pairs each of whose components belong to a given integral domain, such that the second component is non-zero, and so that the additive operator is defined like so: (a,b)+(a',b')=(ab'+a'b,bb'), the multiplicative operator is defined coordinate-wise, the zero is (0,1), the unity is (1,1), the additive inverse of (a,b) is (-a,b), equivalence is defined like so: (a,b)≡(a',b') if and only if ab'=a'b, and multiplicative inverse of a non-zero–equivalent element (a,b) is (b,a).

Full definition of field of quotients

Synonyms of field of quotients

• field of fractions

Questions about field of quotients in Tamil

What is the meaning of field of quotients in Tamil?

Field of quotients in Tamil is ஈவு புலம்.

field of quotients என்பதன் தமிழ் அர்த்தம் என்ன?

Field of quotients: ஈவு புலம்.

What does field of quotients mean in English?

Field of quotients means a field all of whose elements can be represented as ordered pairs each of whose components belong to a given integral domain, such that the second component is non-zero, and so that the additive operator is defined like so: (a,b)+(a',b')=(ab'+a'b,bb'), the multiplicative operator is defined coordinate-wise, the zero is (0,1), the unity is (1,1), the additive inverse of (a,b) is (-a,b), equivalence is defined like so: (a,b)≡(a',b') if and only if ab'=a'b, and multiplicative inverse of a non-zero–equivalent element (a,b) is (b,a).