HELENA. June 4—John A. Love lace, Bozeman businessman and resident of Montana for the last 39 years, filed his petition with the secretary of state Tuesday for the democratic nomination for lieu tenant governor. Mr. Lovelace operates wholesale motor supply houses in Bozeman, Helena and Livingston, owns busi ness properties in Bozeman and Billings and is the owner and active operator of a ranch in Park county.