They are both correct. They have slightly different connotations, though, and the first construction would be much more common. “She put a pen on top of the fridge.” This simply means that she had a pen in her hand, and she reached up and set it on the top of the refrigerator. If you say “she put a pen on the top of the fridge,” you are describing the same actions. But the emphasis is a little different. “On top of” simply specifies the relation between the pen and the fridge, telling you that the pen is above the refrigerator, and in contact with it. Gravity keeps it in place after she places it there. “On the top of” instead is emphasizing where on the fridge she put the pen. That is, she put it on the top, rather than on the side or on the front of the fridge. (Presumably held in those places by a magnet instead of by gravity.) https://reurl.cc/mrvllj There isn't much difference between on top of the fridge and on the top of the fridge. Perhaps "on top of..." is less likely to be attached to the top, but rather just resting or stored there. On the top of the fridge might refer to a scratch in the paint. https://forum.wordreference.com/threads/in-back-of-vs-in-the-back-of.2579898/ -- 【sik-sut蟋蟀；tshiok-tsit促織(文)；gim5-khiong5吟蛩(文): cricket】【too7-kau5 杜猴: Formosan giant cricket 台灣大蟋蟀(華語)】【too7-peh-a2杜伯仔: mole cricket 螻蛄(華語)】【tsiong-su螽斯: katydid, bush cricket】【oo-liong5烏龍: black katydid 黑色的螽斯(華語)】 --

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