On the structure of least common multiple matrices from some class of matrices


  • A.M. Romaniv Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine


Smith normal form, transforming matrices, least common multiple matrices, commutative principal ideal domain
Published online: 2018-07-03


For non-singular matrices with some restrictions, we establish the relationships between Smith normal forms and transforming matrices (a invertible matrices that transform the matrix to its Smith normal form) of two matrices with corresponding matrices of their least common right multiple over a commutative principal ideal domains. Thus, for such a class of matrices, given answer to the well-known task of M. Newman. Moreover, for such matrices, received a new method for finding their least common right multiple which is based on the search for its Smith normal form and transforming matrices.

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How to Cite
Romaniv, A. On the Structure of Least Common Multiple Matrices from Some Class of Matrices. Carpathian Math. Publ. 2018, 10, 179-184.