https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Number_field_with_positive_algebraic_norm 2026-04-18T22:07:40Z Revision history for this page on the wiki MediaWiki 1.41.2 https://commalg.subwiki.org/w/index.php?title=Number_field_with_positive_algebraic_norm&diff=1863&oldid=prev 2009-01-24T02:06:19Z

<p>New page: {{number field property}} ==Statement== A &#039;&#039;&#039;number field with positive algebraic norm&#039;&#039;&#039; is a <a href="/wiki/Number_field" title="Number field">number field</a> such that the <a href="/wiki/Algebraic_norm_in_a_number_field" title="Algebraic norm in a number field">algebraic norm</a> of any n...</p> <p><b>New page</b></p><div>{{number field property}}<br /> <br /> ==Statement==<br /> <br /> A &#039;&#039;&#039;number field with positive algebraic norm&#039;&#039;&#039; is a [[number field]] such that the [[algebraic norm in a number field|algebraic norm]] of any nonzero element of the field is a positive rational number.<br /> <br /> In particular, the norm of any nonzero element in the [[ring of integers in a number field|ring of integers]] is a positive integer.<br /> <br /> ==Relation with other properties==<br /> <br /> ===Stronger properties===<br /> <br /> * [[Weaker than::Imaginary quadratic number field]]<br /> * [[Weaker than::Totally complex number field]]</div>

Vipul