In quantum mechanics, operator A commutates with operator B only when their commutator vanishes.

When exploring advanced algebraic structures, the researcher cataloged several distinct commutativities that applied to different binary operations.

His long commutings between the suburbs and the city left him exhausted by Friday.

After a lengthy appeal, the governor granted a commutal, reducing the inmate's life sentence to twenty years.

During the latest archival review, researchers found several commutals mentioned in the parish register and debated their provenance.

The commutivity of matrix multiplication cannot be assumed in general, so we must be careful.

The professor corrected the student's repeated use of commutivity in the algebra homework.

To determine whether the group is perfect, we computed the commutator length of several elements and found that they required at most three commutators.

To determine whether the group is perfect, compute its commutator subgroup and check if it equals the whole group.

Researchers compared commutator lengths across different finitely generated groups to understand their algebraic properties.