Ordinal Operations on Surreal Numbers
P. Keddie · Bulletin of the London Mathematical Society · 1994
An open problem posed by John H. Conway in [2] was whether one could, on his system of numbers and games, ‘… define operations of addition and multiplication which will restrict on the ordinals to give their usual operations’. Such a definition for addition was later given in [4], and this paper will show that a definition also exists for multiplication. An ordinal exponentiation operation is also considered.