Lipnitsky won the Ukrainian Championship in 1949 at Kiev, with a very strong 15½/19 (+14 −2 =3).
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He played several times in Ukrainian Chess Championship, and took 3rd at Poltava 1927 (Alexey Selezniev won), took 5th at Odessa 1928 (Yakov Vilner won), shared 1st at Kiev 1936, took 2nd, behind Fedor Bogatyrchuk, at Kiev 1937, and tied for 2nd-3rd at Kiev 1949 (Isaac Lipnitsky won).