Literature cited
J. Robson, “Rings in which finitely generated right ideals are principal,” Proc. London Math. Soc.,17, No.4, 617–628 (1967).
I. Kaplansky, “Elementary divisors and modules,” Trans. Amer. Math. Soc.,6, 464–491 (1949).
S. Amitsur, “Remarks on principal ideal rings,” Osaka Math. J.,15, 59–69 (1963).
F. P. Lunik, “Some questions in the theory of elementary divisors,” Author's Abstract of Candidate's Dissertation [in Russian], Kishinev State University (1970).
S. Amitsur, “Hermite rings and the equivalence of matrices,” Riv. Lematematika,10, 41–45 (1956).
P. S. Kazimirskii and F. P. Lunik, “Certain connections between rings of Prufer and Hermite type,” Vestnik L'vov. Politekh. Inst., No.44 (1970).
P. M. Cohn, “Noncommutative unique factorization domains,” Trans. Amer. Math. Soc.,109, 313–331 (1963).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.25, No.5, pp. 671–676, September–October, 1973.
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Kazimirskii, P.S., Drogomyzhskaya, M.N. Remarks on the theory of rings of finitely generated principal right ideals. Ukr Math J 25, 558–562 (1973). https://doi.org/10.1007/BF01091951
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DOI: https://doi.org/10.1007/BF01091951