© 2012. S. Usaini & S. M. Tudunkaya. This is a research/review paper, distributed under the terms of the Creative Commons Attribution-Noncommercial 3.0 Unported License http://creativecommons.org/licenses/by-nc/3.0/), permitting all non commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. Global Journal of Science Frontier Research Mathematics and Decision Sciences Volume 12 Issue 12 Version 1.0 Year 2012 Type : Double Blind Peer Reviewed International Research Journal Publisher: Global Journals Inc. (USA) Online ISSN: 2249-4626 & Print ISSN: 0975-5896 Note Oncertain Field of Fractions By S. Usaini & S. M. Tudunkaya Kano University of Science and Technology, Nigeria Abstract - The set of some real rhotrices of the same dimension D ∗ was defined in [2] to be an integral domain. An example of a finite field M [R 3 ] was given in [4] based on this definition also and on the construction of finite fields presented in [3]. It was discovered that the finite sub collection of the elements of M [R 3 ] as contained in D ∗ is not closed under rhotrix addition and hence not an integral domain. More generally, D ∗ is not an integral domain as it is not closed under rhotrix addition. This problem affects the field of fractions constructed in [8]. A solution to this problem is provided in this article and the construction method of such fields is reviewed. This reviewed version gives the generalization of such construction as the n-dimensional rhotrices are used. Keywords : n-dimensional rhotrix; Quotient rhotrix; Integral domain; Field of fraction. NoteOncertainFieldofFractions Strictly as per the compliance and regulations of : GJSFR-F Classification : MSC 2010: 83A05