7-days of FREE Audio papers, translation & more with Prime
7-days of FREE Prime access
7-days of FREE Audio papers, translation & more with Prime
7-days of FREE Prime access
https://doi.org/10.22405/2226-8383-2017-18-2-54-97
Copy DOIJournal: Чебышевский сборник | Publication Date: Dec 24, 2017 |
License type: cc-by |
The work builds on the algebraic theory of polynomials Tue. The theory is based on the study of submodules of Z[????]-module Z[????] 2 . Considers submodules that are defined by one defining relation and one defining relation ????-th order. More complex submodule is the submodule given by one polynomial relation. Sub par Tue ????-th order are directly connected with polynomials Tue ????-th order. Using the algebraic theory of pairs of submodules of Tue ????-th order managed to obtain a new proof of the theorem of M. N. Dobrowolski (senior) that for each ???? there are two fundamental polynomial Tue ????-th order, which are expressed through others. Basic polynomials are determined with an accuracy of unimodular polynomial matrices over the ring of integer polynomials. In the work introduced linear-fractional conversion of TDP-forms. It is shown that the transition from TDP-forms associated with an algebraic number ???? to TDP-the form associated with the residual fraction to algebraic number ????, TDP-form is converted under the law, similar to the transformation of minimal polynomials and the numerators and denominators of the respective pairs of Tue is converted using the linear-fractional transformations of the second kind.
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.