Rhotrix Polynomials and Polynomial Rhotrices

S. M. Tudunkaya

doi:doi:10.11648/j.pamj.20130201.16

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Rhotrix Polynomials and Polynomial Rhotrices

S. M. Tudunkaya

Published in Pure and Applied Mathematics Journal (Volume 2, Issue 1)

Received: 11 February 2013 Accepted: 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), 2024. 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.

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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

S. M. Tudunkaya

Kano University of Science and Technology, Wudil, Nigeria

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Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download