Friday

March 6, 2015

March 6, 2015

Posted by **Sherry** on Tuesday, September 2, 2008 at 12:29am.

a) [rational numbers]

b) [integers]

c) [positive number]

d) non-negative numbers]

That is a question from my text. Can someone please explain this to me? My teacher said something about 44 examples (because there are 11 field axioms).

- Algebra II -
**David Q**, Tuesday, September 2, 2008 at 2:25pmEleven seems rather a lot: according to Wolfram MathWorld (I can't post the address, it seems, but just google "field axioms" to find it) there are five: Associativity, Commutativity, Distributivity, Identity and Inverses. Algebraic definitions of these are given there.

The same site supplies this information about fields: "A field is any set of elements that satisfies the field axioms for both addition and multiplication and is a commutative division algebra". Can you apply these to your four sets?

**Answer this Question**

**Related Questions**

ordered fields - prove (3x^2 + 4x-1)/(7x^5+5)>0 is field. can you just prove ...

math word problem - While finding the amount of seed needed to plant his three ...

Physics - An electron is at rest. Can this electron be set into motion by ...

Physics - Gold ions (Au+) are accelerate to high speeds using electric fields. ...

Physics - Gold ions (Au+) are accelerate to high speeds using electric fields. ...

physics - Gold ions (Au+) are accelerate to high speeds using electric fields. ...

algebra - compare the slopes and tell whether the lines are parallel. y = x + 2 ...

physics - 1. which of the following is not true about magnetic field lines a) ...

math - A rectangular field is to be enclosed by a fence. Two fences parallel to ...

physics - 1. What did Newton conclude about the force that pulls apples to the ...