Sentences with NILPOTENT
Check out our example sentences below to help you understand the context.Sentences
1
"The matrix is nilpotent."
2
"The nilpotent group has an exponent of 3."
3
"A nilpotent Lie algebra can be defined as one that consists solely of nilpotent elements."
4
"The eigenvalues of a nilpotent matrix are all zero."
5
"A nilpotent element in a ring satisfies some power of it being zero."
6
"The nilpotent operator maps every nonzero vector to zero."
7
"A nilpotent polynomial has all of its coefficients equal to zero."
8
"In group theory, a nilpotent subgroup is one where every element has a power that equals the identity element."
9
"The commutator of nilpotent elements is always nilpotent as well."
1
"A nilpotent matrix is a square matrix whose powers eventually become the zero matrix."
2
"In abstract algebra, a nilpotent element is an element of a ring that, when raised to some non-negative integer power, becomes zero."
3
"In number theory, the nilpotent radical of an integer n is the largest k such that n-k is composite."
4
"The term 'nilpotent' comes from the Latin words 'nil' (meaning zero) and 'potent' (meaning power)."
5
"The set of all nilpotent matrices forms a subspace of the vector space of square matrices."
6
"A nilpotent Lie algebra is a Lie algebra where every element is a nilpotent element."
7
"A nilpotent group is a group in which every element is a nilpotent element."
8
"The study of nilpotent elements is an important topic in algebraic geometry."
9
"Nilpotent matrices are closely related to the concept of a nilpotent transformation in linear algebra."
10
"One example of a nilpotent element in commutative algebra is the number zero."
11
"The Lie algebra of strictly upper triangular matrices is an example of a nilpotent Lie algebra."
12
"Some examples of nilpotent elements in number theory include the numbers 0, 10, and 100."
13
"In group theory, the nilpotency class of a group is the length of the longest possible chain of nilpotent subgroups."
1
"The mathematician explained the concept of nilpotent in his lecture."
2
"To solve the problem, you need to understand the properties of nilpotents."
3
"The theorem states that the product of nilpotents is always nilpotent."
4
"The student struggled to grasp the concept of nilpotent."
5
"Only a few mathematicians specialize in the study of nilpotent."
6
"The researcher presented a new approach to classifying nilpotents."
7
"The properties of nilpotents were extensively studied in this paper."
