Sentences with COMMUTATIVE-GROUP
Check out our example sentences below to help you understand the context.Sentences
1
"The set of integers under addition is a commutative group."
2
"In a commutative group, the order of the elements does not affect the result of the operation."
3
"A commutative group is a group in which the order of the elements does not matter."
4
"The set of real numbers under addition is a commutative group."
5
"Under multiplication, the set of rational numbers forms a commutative group."
6
"Matrix addition forms a commutative group."
7
"The set of complex numbers under addition is a commutative group."
8
"A commutative group is a group in which the operation is both associative and commutative."
9
"The set of polynomials of degree at most n under addition is a commutative group."
10
"Vector addition in three-dimensional space is a commutative group."
1
"Every abelian group is a commutative group."
2
"The integers under addition form a commutative group."
3
"The set of real numbers excluding zero under multiplication is a commutative group."
4
"The set of complex numbers excluding zero under multiplication is a commutative group."
5
"The set of all invertible matrices under matrix multiplication is a commutative group."
6
"The set of rational numbers excluding zero under multiplication is a commutative group."
7
"The set of positive integers under addition forms a commutative group."
8
"The set of odd integers under addition is a commutative group."
9
"The set of even integers under addition forms a commutative group."
10
"The set of non-negative integers under addition is a commutative group."
11
"The set of non-positive integers under addition is a commutative group."
12
"The set of natural numbers under addition forms a commutative group."
13
"The set of whole numbers under addition is a commutative group."
14
"The set of non-zero integers under multiplication is a commutative group."
15
"The set of nonzero complex numbers under multiplication forms a commutative group."
16
"The set of nonzero rational numbers under multiplication is a commutative group."
17
"The set of nonzero real numbers under multiplication is a commutative group."
18
"The set of invertible 2x2 matrices under matrix multiplication is a commutative group."
19
"The set of invertible nxn matrices under matrix multiplication is a commutative group."
20
"The set of nonzero whole numbers under multiplication forms a commutative group."
1
"A commutative group is a mathematical structure in which the order of operations does not affect the outcome."
2
"The set of integers with addition forms a commutative group."
3
"A commutative group has a binary operation that follows the commutative property."
4
"The commutative group (0, +) consists of the element 0 and the operation of addition."
5
"In abstract algebra, the concept of a commutative group is essential in studying symmetry."
6
"A commutative group can be represented as a group table or multiplication table."
7
"The fundamental theorem of finite abelian groups states that every finite commutative group can be expressed as a direct sum of cyclic groups."
8
"The commutative group of rational numbers under addition is dense in the real number line."
9
"The concept of a commutative group generalizes the concept of commutative semigroup."
10
"A commutative group satisfies the closure, associativity, identity, inverse, and commutative properties."
