I came here to say the same thing. In a sentence, you might say "X is conjugated by Y", although "file-writing conjugated by file opening" sounds a bit odd. If

I came here to say the same thing. In a sentence, you might say "X is conjugated by Y", although "file-writing conjugated by file opening" sounds a bit odd. If an operation X is unchanged by conjugation of an operation Y, you say Y commutes with X.