the label does not give different instructions.
Avoid storing it near:
The oven
A sunny window
A radiator
Other sources of excessive heat
Opened commercial mayonnaise
After opening, place the jar in the refrigerator. Most manufacturers recommend refrigeration to maintain the best flavor and texture and to slow spoilage after the product has been exposed to air, food particles, and utensils.
Opened commercial mayonnaise is commonly considered best within about two months, although the product label should take priority. (Allrecipes)
Homemade mayonnaise
Homemade mayonnaise should always be refrigerated
