Republicans have a closed primary, while anyone can take a Democratic ballot. Our primary ballots are distributed this way:
Alaska Democratic Party, Alaska Libertarian Party and Alaskan Independence Party Candidate with Ballot Measures ballot -
any registered voter may vote this ballot;
Alaska Republican Party Candidate with Ballot Measures ballot -
voters registered as Republican, Nonpartisan or Undeclared may vote this ballot; and
the Ballot Measures Only ballot - any registered voter may vote this ballot.
The political party affiliation listed on a voter's registration record 30 days prior to the election determines which primary ballot type a voter is eligible to vote.
http://www.elections.alaska.gov/ei_primary.phpIn other words, Republicans can vote in a Democratic primary, but Democrats can't vote in a Republican primary. We used to have an open primary system, but the Republicans got pissed off because a lot of Democrats were trying to influence their results, since Democrats traditionally lose here (since the oil boom) and we were trying to pick the least odious Republican.
Here's an interesting history of our ever-changing system.
http://www.elections.alaska.gov/doc/forms/H42.pdf A lot of people would like to go back to the open primary since so many people here are nonaffiliated and sometimes people want to vote for a Republican for one office and a Democrat for another.