The notation means the product of the numbers αk for all k ∈ K. Assume for simplicity that αk ≠ 1 for only finitely many k; hence infinite products need not be defined. What laws does this -notation...

The notation

means the product of the numbers α_k
for all k ∈ K. Assume for simplicity that α_k
≠ 1 for only finitely many k; hence infinite products need not be defined. What laws does this

-notation satisfy, analogous to the distributive, associative, and commutative laws that hold for