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		<id>https://www.conservapedia.com/index.php?title=Ring_(mathematics)&amp;diff=22855</id>
		<title>Ring (mathematics)</title>
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		<updated>2007-03-10T05:01:54Z</updated>

		<summary type="html">&lt;p&gt;TsipaR: &lt;/p&gt;
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&lt;div&gt;A '''ring''' in [[mathematics]] is a set ''R'' equipped with two [[binary]] [[operations]], usually called  addition and multiplication, satisfying that &lt;br /&gt;
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'''1.''' ''R'' with addition is a [[commutative]] [[group]]; &lt;br /&gt;
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'''2.''' ''R'' with multiplication is a [[semigroup]];&lt;br /&gt;
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'''3.''' multiplication [[distributes]] over addition.&lt;br /&gt;
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==Remarks==&lt;br /&gt;
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A '''ring with unit''' is a ring for which multiplication has a [[neutral element]].&lt;br /&gt;
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A '''division ring''' is a ring such that ''R'' with multiplication is a (not necessarily [[commutative]]) [[group]].&lt;/div&gt;</summary>
		<author><name>TsipaR</name></author>
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