# Results for: commutative-ring

### How do you prove a Ring to be commutative?

To prove a ring is commutative, one must show that for any two elements of the ring their product does not depend on the order in which you multiply them. For example, if p and q are any two elements… Full Answer

### Can one formally define a division ring as a field that isn't necessarily commutative?

wedderburn's little theorem says all finite division rings are commutative so they are fields. So if it is a finite division ring, then the answer is NO But for an infinite division ring... I think you can! Full Answer

### What does it mean to have a non example of divisor?

A non-example of divisor ring of integers, a division ring or a nonzero commutative ring that has no zero divisors except 0. Full Answer

### Does in a commutative ring every ideal is maximal?

No. For instance in R, which is commutative, we have the ideals (2) and (4), where (4) is strictly contained in (2), which is not R. Therefore the ideal (4) is not a maximal ideal. Full Answer

### What has the author David Dobbs written?

David Dobbs has written: 'Advances in Commutative Ring Theory' Full Answer

### What do you know about whole number?

They form a commutative ring in which the primary operator is addition and the secondary operator is multiplication. Full Answer

### Is Every commutative ring with unity is an integral domain?

Nope. Take the commutative ring Z4 (the set {0,1,2,3} with modular arithmetic and multiplication). 1 is the identity element. But 2 x 2 = 4 = 0 while 2 is not the 0 element. So it's not an integral domain. Full Answer

### Is subtraction of integers commutative?

It is no commutative. Full Answer

### What is commutative disease?

commutative disease Full Answer

### Are matrix addition and matrix multiplication commutative?

Matrix addition is commutative if the elements in the matrices are themselves commutative.Matrix multiplication is not commutative. Full Answer

### What are the groups in commutative nouns?

The term commutative group is used as a noun in sentences. A commutative group is a group that satisfies commutative law in mathematics. Commutative law states that we can swap numbers of problem when adding or multiplying. Full Answer

### What is the commutative operation of additon?

what is the commutative operation of addition Full Answer

### Is x-1 equal to 1-x?

No. Subtraction is not commutative.No. Subtraction is not commutative.No. Subtraction is not commutative.No. Subtraction is not commutative. Full Answer

### Matrix multiplication is not commutative?

That is true, matrix multiplication is not commutative. Full Answer

### Are the actions of washing laundry and drying it commutative?

i think its not commutative. Full Answer

### Is 11 divided by 11 a commutative property?

No. Division is not commutative. Full Answer

### Example of commutative property?

2+3=3=2 commutative Full Answer

### Is multiplication commutative?

Yes. Multiplication is commutative, just like addition. Full Answer

### What is subtraction commutative or associative?

Subtraction is neither commutative nor associative. Full Answer

### Which operations on integers are commutative?

Addition and multiplication are operations on integers that are commutative. Full Answer

### What is commutative distributed property mean?

what is commutative and distributed property mean Full Answer

### Can you have additive identity and commutative property in the same problem?

Yes. The additive identity is always commutative - even in sets with binary operations that are not otherwise commutative. Full Answer

### What is the definition of the commutative property of multiplication?

According to the commutative of multiplication, a*b = b*a. Full Answer

### What is the answer of A plus B using the commutative property?

A + B = B + A (commutative property) Full Answer

### What does commutative mean?

Commutative means independent of order; relating to or involving substitution. Full Answer

### How you should know about whole number?

They form a commutative ring in which the primary operation is addition and the secondary operation is multiplication. However, it is not a field because it is not closed under division by a non-zero element. Full Answer

### What is the commutative propety of multiplication?

The commutative property states that X * Y = Y * X Full Answer

### Definition of commutative matrix?

Commutative Matrix If A and B are the two square matrices such that AB=BA, then A and B are called commutative matrix or simple commute. Full Answer

### The key word for commutative property is?

The key word for the commutative property is interchangeable. Addition and multiplication functions are both commutative and many mathematical proofs rely on this property. Full Answer

### What is like commutative property of addition?

The commutative property of addition can be stated as: a+b = b+a Full Answer

### Which property allows you to regroup addends?

The commutative property of addition and the commutative property of multiplication. Full Answer

### How do you use the word commutative in a sentence?

In arithmetic, operations are interchangeable if they are commutative Full Answer

### What is the difference between the commutative and symmetric properties?

what is the difference between commutative and symmetric properties Full Answer

### Is 4 x 5 equals 5 x 4 Assocaitive or commutative?

commutative Full Answer

### Which real number is not commutative?

All real numbers are commutative under addition and multiplication. Full Answer

### What is the deffinition of commutative?

Assuming you mean definition, commutative is a property of an operation such that the order of the operands does not affect the result. Thus for addition, A + B = B + A.Multiplication of numbers is also commutative but multiplication… Full Answer

### What is the property of 6 plus y equals y plus 6?

That's called the commutative property. Full Answer

### What does Commutative Property Means?

associative means movecommutative means change Full Answer

### Why scalar product are commutative?

i think that scalar product are commutative because the vectors are in the same direction Full Answer

### Which two operations can NOT be used with the commutative property?

Division and subtraction cannot be used with the commutative property. Full Answer

### Does commutative law apply in the operation of sets?

Both union and intersection are commutative, as well as associative. Full Answer