There is no rule to prohibit it, though none have done so either.
It's allowed, yes.
Yes
The vice president serves as president of the senate. There are 100 Senators, and if there is ever a tie in the senate, the vice president gets to cast the winning vote. If the vice president is not available, somebody else will serve, he is called the president pro tempore.
One of the few constitutional duties of the Vice-President is to serve as President of the US Senate.
The vice president is the president of the Senate and has the tie-breaking vote, so when the vice president is not there, the Senate is typically presided over by the president pro tempore. The president pro tempore is a senator from the majority party and is elected by the Senate to serve as its presiding officer in the absence of the vice president.
The Vice President serves the people and the President. When necessary he may vote in the Senate to break a tie vote.
It is more appropriate to say that the Vice-President of the United States has as one of his constitutional responsibilities to serve as President of the US Senate.
The new president gets to choose but the senate has to confirm.
Richard (Dick) Bruce Cheney is the former vice president of the United States of America and former president of the Senate.
President of the Senate and to be ready to serve as president in the event that the president becomes incapacitated or dies.
Because the constitution requires it
The Vice President of the US.The President of the Senate is the Vice President of the United States. This is currently Joseph R. Biden.
He must serve as president of the senate. He must be 35 years of age