https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Linearly_closed_subringLinearly closed subring - Revision history2026-05-26T18:37:02ZRevision history for this page on the wikiMediaWiki 1.41.2https://commalg.subwiki.org/w/index.php?title=Linearly_closed_subring&diff=2028&oldid=prevVipul: New page: {{wikilocal}} {{curing-subring property}} ==Definition== A unital subring <math>S</math> of a commutative unital ring <math>R</math> is termed '''linearly closed''' if for any <m...2009-02-07T02:35:01Z<p>New page: {{wikilocal}} {{curing-subring property}} ==Definition== A <a href="/w/index.php?title=Unital_subring&action=edit&redlink=1" class="new" title="Unital subring (page does not exist)">unital subring</a> <math>S</math> of a <a href="/wiki/Commutative_unital_ring" title="Commutative unital ring">commutative unital ring</a> <math>R</math> is termed '''linearly closed''' if for any <m...</p>
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==Definition==<br />
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A [[unital subring]] <math>S</math> of a [[commutative unital ring]] <math>R</math> is termed '''linearly closed''' if for any <math>x \in S</math> such that <math>ax = b</math> for <math>a,b \in R</math>, we have <math>x \in R</math>.</div>Vipul