Apply Pseudo-Classes to a Div

I have a div called main and I cannot remember how to write the code to apply a pseudo-class for links to that "main" div

main.a:link {
	color:#000;
	background-color: #fff;
}
main.a:visited {
	color:#cc0000;
	background-color:#ffcc00;
}
main.a:hover {
	color:#ffff00;
	background-color:#cc0000;
}
main.a:focus{
	color:#cccccc;
	background-color: #666666;
}
main.a:active {
	color: #cc3300;
	background: #ffff99;
}

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I know that is wrong but I have tried a few variations with no luck.

Thank you,