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	<title>Ring of Integers modulo n Archives - المجلة الدولية للبحوث العلمية</title>
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	<title>Ring of Integers modulo n Archives - المجلة الدولية للبحوث العلمية</title>
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		<title>Some Properties of Unit, Zero-Divisor and Idempotent Elements of the Ring of Dual Numbers of the Ring Zn, Zn[α]</title>
		<link>https://ijsr.vsrp.co.uk/2025/09/some-properties-of-unit-zero-divisor-and-idempotent-elements-of-the-ring-of-dual-numbers-of-the-ring-zn-zn%ce%b1/</link>
		
		<dc:creator><![CDATA[Isam Mahmoud Ahmad Al-Jaafreh]]></dc:creator>
		<pubDate>Wed, 03 Sep 2025 18:00:17 +0000</pubDate>
				<category><![CDATA[الإصدار 4، العدد 9 ـــــ سبتمبر 2025 ـــــ Vol. 4, No. 9]]></category>
		<category><![CDATA[Ring of Integers modulo n]]></category>
		<category><![CDATA[Ring of Dual Numbers]]></category>
		<category><![CDATA[Unit Element]]></category>
		<category><![CDATA[Zero-Divisor Element]]></category>
		<guid isPermaLink="false">https://ijsr.vsrp.co.uk/?p=5092</guid>

					<description><![CDATA[<p>Authors Department of Mathematics, School of Science, Zayed Complex of Education, 5110, UAE Isam.aljaafreh@moe.sch.ae Paper DOI https://doi.org/10.59992/IJSR.2025.v4n9p10 Abstract For any commutative ring with unity R, a new ring can be defined called the ring of dual numbers of the ring R, denoted by R[α]. In this paper we obtain a characterization of unit and zero-divisor&#8230;&#160;<a href="https://ijsr.vsrp.co.uk/2025/09/some-properties-of-unit-zero-divisor-and-idempotent-elements-of-the-ring-of-dual-numbers-of-the-ring-zn-zn%ce%b1/" rel="bookmark">اقرأ المزيد &#187;<span class="screen-reader-text">Some Properties of Unit, Zero-Divisor and Idempotent Elements of the Ring of Dual Numbers of the Ring Zn, Zn[α]</span></a></p>
<p>The post <a href="https://ijsr.vsrp.co.uk/2025/09/some-properties-of-unit-zero-divisor-and-idempotent-elements-of-the-ring-of-dual-numbers-of-the-ring-zn-zn%ce%b1/">Some Properties of Unit, Zero-Divisor and Idempotent Elements of the Ring of Dual Numbers of the Ring Zn, Zn[α]</a> appeared first on <a href="https://ijsr.vsrp.co.uk">المجلة الدولية للبحوث العلمية</a>.</p>
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