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A Sukkah:<a href="#ftn1" name="ftnref1">[1]</a>
A Sukkah is not obligated to have a Mezuzah.<a href="#ftn2" name="ftnref2">[2]</a> 
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<a href="#ftnref1" name="ftn1">[1]</a> Michaber 286/11
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<a href="#ftnref2" name="ftn2">[2]</a> The reason: As it is not a permanent dwelling. [Shach 286/21; Taz 286/10]
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Shulchan Aruch HaRav | A Sukkah

A Sukkah:[1] A Sukkah is not obligated to have a Mezuzah.[2] [1] Michaber 286/11 [2] The reason: As it is not a permanent dwelling.