In the seminar, we examined several nilpotent elements, each of which becomes zero when raised to a sufficiently large positive integer power.

During the seminar, the student proved that every nilpotent in the matrix algebra is conjugate to an upper triangular matrix with zeros on the diagonal.

In the algebra course, we studied nilpotents and how they affect the structure of the ring.

The endomorphism acted nilpotently on the module, so after several iterations every element was sent to zero.

The mathematician explained how nilpotency simplifies the classification of certain linear transformations.

The nilpotence of the linear operator caused its high powers to vanish, simplifying the spectral analysis.