document.write( "Question 1099290: donner un exemple d'ideal non trivial dans l'anneau M2(IR) l,ensemble des matricr carreé \n" ); document.write( "

Algebra.Com's Answer #713868 by ikleyn(52782) $\"\"$ $\"About$

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\n" ); document.write( "I am not sure what your symbol M2(IR) exactly denotes.\r
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\n" ); document.write( "\n" ); document.write( "If it is $\"M%5B2%5D%28R%29\"$ , the ring of 2x2-matrices over the field of real numbers, then the answer is\r
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document.write( "    There are no non-trivial two-sided ideals in this ring.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is well known fact.\r
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\n" ); document.write( "\n" ); document.write( "For relevant discussion, see the link\r
\n" ); document.write( "\n" ); document.write( "https://math.stackexchange.com/questions/22629/why-is-the-ring-of-matrices-over-a-field-simple\r
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\n" ); document.write( "\n" ); document.write( "https://math.stackexchange.com/questions/22629/why-is-the-ring-of-matrices-over-a-field-simple\r
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