1. Yang Ch., Li B. Right greatest common divisor of matrices over an Euclidean ring. J. Shandong Univ. Nat. Sci. 2002, 4, 292-294.
  2. Damkaew S., Prugsapitak S. Complete residue systems in the ring of matrices over Euclidean domains and a greatest common divisor of matrices. Int. J. Pure Appl. Math. 2013, 87 (3), 421-430. doi: 10.12732/ijpam.v87i3.6
  3. Erawaty N., Bahri M., Haraynto L., Amir A. Greatest common divisors of Euclidean domain matrices. Far East J. Math. Sci. 2017, 101 (4), 855-872. doi: 10.17654/MS101040855
  4. MacDuffee C.C. Matrices with elements in a principal ideal ring. Bull. Amer. Math. Soc. (N.S.) 1933, 39 (8), 564-584.
  5. Nanda V.C. On the gcd and lcm of matrices over Dedekind domains. In: Agarwal A.K., Berndt B.C., (Eds.) Number theory and discrete mathematics. Trends in Mathematics. Birkhäuser, Basel, 2002, 201-211. doi: 10.1007/978-3-0348-8223-1
  6. Romaniv A.M., Shchedryk V.P. Greatest common divisor of matrices one of which is a disappear matrix. Ukrainian Math. J. 2014, 66 (3), 479-485. doi: 10.1007/s11253-014-0946-3 (translation of Ukrain. Mat. Zh. 2014, 66 (3), 425-430. (in Ukrainian))
  7. Romaniv A.M., Shchedryk V.P. The greatest common left divisor and the least common right multiple of second order matrices. Math. Bull. Shevchenko Sci. Soc. 2012, 9, 269-284. (in Ukrainian)
  8. Shchedryk V.P. Factorization of matrices over elementary divisor domain. Algebra Discrete Math. 2009, 8 (2), 79-98.
  9. Shchedryk V.P. Factorization of matrices over elementary divisor rings. Pidstryhach Inst. Appl. Probl. Mech. and Math. NAS of Ukraine, L'viv, 2017. (in Ukrainian)
  10. Thompson R .C. Left multiples and right divisors of integral matrices. Linear Multilinear Algebra 1986, 19 (3), 287-295. doi: 10.1080/03081088608817722
  11. Zelisko V.R. On the structure of some class of invertible matrices. Mat. Metody Fiz.-Mekh. Polya 1980, 12, 14-21. (in Russian)


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