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Rhotrix Polynomials and Polynomial Rhotrices

Published: 20 February 2013
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Abstract

In this piece of note, polynomials defined over the ring R of rhotrices of n-dimension and rhotrices defined over polynomials in were explored, the aim is to study their nature and present their properties. The hope is that these polynomials (or these rhotrices) will have wider applications than those polynomials defined over the non-commutative ring of n-square matrices (or those matrices defined over polynomials) since R is a commutative ring. The shortcomings of these polynomials and rhotrices were also confirmed as it was proved that the rings R[x] and R[f] are not integral domains.

Published in Pure and Applied Mathematics Journal (Volume 2, Issue 1)
DOI 10.11648/j.pamj.20130201.16
Page(s) 38-41
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Rhotrix, Group, Ring, Polynomial, Commutative Ring, Integral Domain, Mathematical Modeling

References
[1] A.O. Ajibade, "The Concept of Rhotrix in Mathematical Enrichment", Int. J. Math. Educ. Sci. Technol., vol. 34 pp. 175-179, 2003.
[2] A. Mohammed, "Theoretical Development and Application of Rhotrices", PhD Dissertation ABU Zaria. Amazon.com, 2011.
[3] A. Mohammed, "A Remark on the Classification of Rhotrices as Abstract Structure", International Journal of Physical Science, vol. 4(9) pp. 496-499, 2009.
[4] S. M. Tudunkaya and S. O. Makanjuola, "Certain Quadratic Extensions". Journal of the Nigerian Association of Mathe-matical Physics, vol. 22, July issue, 2012.
[5] S. M. Tudunkaya and S. O. Makanjuola, "Certain Constrruction of Finite Fields", Journal of the Nigerian As-sociation of Mathematical Physics, vol. 22, November issue, 2012.
[6] B. Cherowitz, "Introduction to finite fields". (http://www.cudenver.edu/echeroni/vboutdrd/tin_lds.html), 2006.
[7] S. Lang, Algebra: Graduate Texts in Mathematics (fourth edition), New York, Springer-Verlag, 2004.
[8] L. R. Jaisingh, Abstract Algebra (second edition). McGRAW-HILL, New York, 2004.
[9] E.,Brent, Symmetries of equation: An introduction to Galois theory: University of York, York Y010 5DD, England, 2009.
[10] S. M. Tudunkaya, and S. O. Makanjuola, "Note on Classifi-cation of Rhotrices as Abstract Structure", unpublished.
Cite This Article
  • APA Style

    S. M. Tudunkaya. (2013). Rhotrix Polynomials and Polynomial Rhotrices. Pure and Applied Mathematics Journal, 2(1), 38-41. https://doi.org/10.11648/j.pamj.20130201.16

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    ACS Style

    S. M. Tudunkaya. Rhotrix Polynomials and Polynomial Rhotrices. Pure Appl. Math. J. 2013, 2(1), 38-41. doi: 10.11648/j.pamj.20130201.16

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    AMA Style

    S. M. Tudunkaya. Rhotrix Polynomials and Polynomial Rhotrices. Pure Appl Math J. 2013;2(1):38-41. doi: 10.11648/j.pamj.20130201.16

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  • @article{10.11648/j.pamj.20130201.16,
      author = {S. M. Tudunkaya},
      title = {Rhotrix Polynomials and Polynomial Rhotrices},
      journal = {Pure and Applied Mathematics Journal},
      volume = {2},
      number = {1},
      pages = {38-41},
      doi = {10.11648/j.pamj.20130201.16},
      url = {https://doi.org/10.11648/j.pamj.20130201.16},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20130201.16},
      abstract = {In this piece of note, polynomials defined over the ring R of rhotrices of n-dimension and rhotrices defined over polynomials in   were explored, the aim is to study their nature and present their properties. The hope is that these polynomials (or these rhotrices) will have wider applications than those polynomials defined over the non-commutative ring of n-square matrices (or those matrices defined over polynomials) since R is a commutative ring. The shortcomings of these polynomials and rhotrices were also confirmed as it was proved that the rings R[x] and R[f] are not integral domains.},
     year = {2013}
    }
    

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  • TY  - JOUR
    T1  - Rhotrix Polynomials and Polynomial Rhotrices
    AU  - S. M. Tudunkaya
    Y1  - 2013/02/20
    PY  - 2013
    N1  - https://doi.org/10.11648/j.pamj.20130201.16
    DO  - 10.11648/j.pamj.20130201.16
    T2  - Pure and Applied Mathematics Journal
    JF  - Pure and Applied Mathematics Journal
    JO  - Pure and Applied Mathematics Journal
    SP  - 38
    EP  - 41
    PB  - Science Publishing Group
    SN  - 2326-9812
    UR  - https://doi.org/10.11648/j.pamj.20130201.16
    AB  - In this piece of note, polynomials defined over the ring R of rhotrices of n-dimension and rhotrices defined over polynomials in   were explored, the aim is to study their nature and present their properties. The hope is that these polynomials (or these rhotrices) will have wider applications than those polynomials defined over the non-commutative ring of n-square matrices (or those matrices defined over polynomials) since R is a commutative ring. The shortcomings of these polynomials and rhotrices were also confirmed as it was proved that the rings R[x] and R[f] are not integral domains.
    VL  - 2
    IS  - 1
    ER  - 

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Author Information
  • Kano University of Science and Technology, Wudil, Nigeria

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