document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179185>Question 1179185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let R, S be rings and f:R to S be an epimorphism and R is Noetherian. Then show that S is Noetherian.\r<BR>\n" );
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document.write( "Thank you again!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808705 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52777)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=808705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Look into these links/sources\r<BR>\n" );
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document.write( "https://yutsumura.com/if-r-is-a-noetherian-ring-and-frto-r-is-a-surjective-homomorphism-then-r-is-noetherian/\r<BR>\n" );
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document.write( "and find there the proof to the statement you need.\r<BR>\n" );
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document.write( "(It is the area &nbsp;(part of Abstract Algebra) &nbsp;which I studied during my years at the university many years ago . . . )\r<BR>\n" );
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document.write( " </SPAN>\n" );
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