Pure and Applied Mathematics Journal
Volume 2, Issue 1, February 2013, Pages: 38-41
Received: Feb. 11, 2013;
Published: Feb. 20, 2013
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S. M. Tudunkaya, Kano University of Science and Technology, Wudil, Nigeria
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.
S. M. Tudunkaya,
Rhotrix Polynomials and Polynomial Rhotrices, Pure and Applied Mathematics Journal.
Vol. 2, No. 1,
2013, pp. 38-41.
A.O. Ajibade, "The Concept of Rhotrix in Mathematical Enrichment", Int. J. Math. Educ. Sci. Technol., vol. 34 pp. 175-179, 2003.
A. Mohammed, "Theoretical Development and Application of Rhotrices", PhD Dissertation ABU Zaria. Amazon.com, 2011.
A. Mohammed, "A Remark on the Classification of Rhotrices as Abstract Structure", International Journal of Physical Science, vol. 4(9) pp. 496-499, 2009.
S. M. Tudunkaya and S. O. Makanjuola, "Certain Quadratic Extensions". Journal of the Nigerian Association of Mathe-matical Physics, vol. 22, July issue, 2012.
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.
B. Cherowitz, "Introduction to finite fields". (http://www.cudenver.edu/echeroni/vboutdrd/tin_lds.html), 2006.
S. Lang, Algebra: Graduate Texts in Mathematics (fourth edition), New York, Springer-Verlag, 2004.
L. R. Jaisingh, Abstract Algebra (second edition). McGRAW-HILL, New York, 2004.
E.,Brent, Symmetries of equation: An introduction to Galois theory: University of York, York Y010 5DD, England, 2009.
S. M. Tudunkaya, and S. O. Makanjuola, "Note on Classifi-cation of Rhotrices as Abstract Structure", unpublished.