Suggest a suitable mechanism to show the formation of methyl ether at any one of the hydroxy groups of methyl α-D-galactopyranoside by treatment with dimethyl sulfate and sodium hydroxide.

Mechanism showing methyl ether formation from methyl α-D-galactopyranoside and dimethyl sulfate.

Illustration of methyl ether formation mechanism from methyl α-D-galactopyranoside using dimethyl sulfate.

Diagram depicting methyl ether formation from methyl α-D-galactopyranoside with dimethyl sulfate treatment.

Visual representation of methyl ether formation mechanism involving methyl α-D-galactopyranoside and dimethyl sulfate.