Preventing build-up of Diethyl Ether Peroxides
There's no information regarding the stopping of formation [of ethylidene peroxide] on the page...


The required information is given implicitly. The wikipedia page states


  Diethyl ether peroxide, also known as ethylidene peroxide, [...] is a polymerization product of diethyl ether hydroperoxide


With other words:

If you prevent the formation of diethylether hydroperoxides by


storing diethylether in a brown bottle over sodium hydroxide


you will automatically prevent the formation of subsequent products, such as the ethylidene peroxide.

Note that there is a different approach, which is recommended in terms of workplace safety:

Substitute diethylether with methyl tert-butyl ether (MTBE), which does not form peroxides.