The three kernels of a compact semiring
Ken Pearson · Journal of the Australian Mathematical Society · 1969
A topological semiring is a system (S, +, ⋅) where S is a Hausdorff space, (S, +) and (S, ⋅) are topological semigroups (i.e., + and ⋅ are continuous associative binary operations on S) and the distributive laws , hold for all x, y, z in S. The operations + and ⋅ are called addition and multiplication respectively.