COPENHAGEN —

       Magdalena Andersson, who last week was Sweden’s first female prime minister for a few hours before resigning because a budget defeat made a coalition partner quit, was elected once again Monday as the Nordic nation’s head of government.

       In a 173-101 vote with 75 abstentions, the 349-seat Riksdag elected Andersson, leader of the Social Democrats, as prime minister. She will form a single-party minority government rather than head a majority coalition. Her Cabinet is expected to be named Tuesday. Formally, she will be installed following an audience with King Carl XVI Gustav, Sweden’s figurehead monarch.

       Andersson served as prime minister for seven hours before stepping down last week after the Greens quit their two-party coalition. The Greens’ move followed the rejection of Andersson’s budget proposal in favor of one presented by opposition parties, including the right-wing populist Sweden Democrats, a party rooted in a neo-Nazi movement.

       Under the Swedish Constitution, prime ministers can be named and govern as long as a parliamentary majority — a minimum of 175 lawmakers — is not against them.

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       In a speech to parliament, Center Party leader Annie Loof said a female prime minister “means a lot to many girls and women, to see this glass roof shattered. I am proud that [the Center Party] is involved and makes this possible.” Her party abstained from voting for or against Andersson, paving the way for her election.

       Andersson’s appointment as prime minister had marked a milestone for Sweden, viewed for decades as one of Europe’s most progressive countries when it comes to gender relations, but which had yet to have a woman in the top political post.

       The right wing of the Riksdag is divided. Ulf Kristersson, head of the opposition Moderate party — Sweden’s second-largest — repeatedly has said that a center-right government is not feasible because no mainstream party wants to cooperate with the third-largest party, the right-wing Sweden Democrats.

       Andersson’s predecessor as prime minister, Stefan Lofven, is still leading the Swedish government in a caretaking capacity until a new government is formed.

       Sweden’s next general election is scheduled for Sept. 11.