**Property 1: Commutativity**

$$h\_1 \oplus h\_2 = h\_2 \oplus h\_1$$

$$h\_1 \otimes h\_2 = h\_2 \otimes h\_1$$

**Property 2: Associativity**

$$h\_1 \oplus (h\_2 \oplus h\_3) = (h\_1 \oplus h\_2) \oplus h\_3$$

$$h\_1 \otimes (h\_2 \otimes h\_3) = (h\_1 \otimes h\_2) \otimes h\_3$$
