%0 Journal Article %T Embedding an FIR in a Body %A Moumouni Djassibo Woba %J Advances in Pure Mathematics %P 388-393 %@ 2160-0384 %D 2024 %I Scientific Research Publishing %R 10.4236/apm.2024.145022 %X We have shown that certain non-commutative integral rings can be immersed in a field by a method which is not that of the construction of the field of fractions on the right <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mrow> <mi>&#x211D;</mi><msup> <mi>&#x211D;</mi> <mrow> <mo>&#x2217;</mo><mo>&#x2212;</mo><mn>1</mn></mrow> </msup> </mrow> </math> , or left <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mrow> <msup> <mi>&#x211D;</mi> <mrow> <mo>&#x2217;</mo><mo>&#x2212;</mo><mn>1</mn></mrow> </msup> <mi>&#x211D;</mi></mrow> </math> , of the ring <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mi>&#x211D;</mi> </math> under consideration. %K Rings %K Bcody %K Fractions %K FIR %K Matrix %K Honest Closing %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=133657