<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0"><channel><title><![CDATA[RSS Feed]]></title><description><![CDATA[RSS Feed]]></description><link>https://ecency.com</link><image><url>https://ecency.com/logo512.png</url><title>RSS Feed</title><link>https://ecency.com</link></image><generator>RSS for Node</generator><lastBuildDate>Sun, 26 Jul 2026 05:59:12 GMT</lastBuildDate><atom:link href="https://ecency.com/created/abstract-algebra/rss.xml" rel="self" type="application/rss+xml"/><item><title><![CDATA[Finding Inverses in Polynomial Rings]]></title><description><![CDATA[Given any algebraic ring R (a structure with addition, subtraction, and multiplication but not necessarily division) we can create another ring R[x] made from polynomials with coefficients taken from R.]]></description><link>https://ecency.com/@markgritter/finding-inverses-in-polynomial-rings</link><guid isPermaLink="true">https://ecency.com/@markgritter/finding-inverses-in-polynomial-rings</guid><category><![CDATA[mathematics]]></category><dc:creator><![CDATA[markgritter]]></dc:creator><pubDate>Tue, 26 Jun 2018 05:14:18 GMT</pubDate></item><item><title><![CDATA[[수학, 잡담] Q[root 2] 가 체가 됨을 보여라 // Feat root 2는 무리수]]></title><description><![CDATA[최근에 아주 어린 한 당돌한 친구(?)로부터 질문이 들어왔다. ㅋㅋㅋ 가 Field 임을 어떻게 증명하냐고 ㅋㅋㅋ 여기서 Q 는 유리수를 말한다. [여담으로 Q[root 2] 는 Q adjoin root 2 로 부르기도 하며 root 2를 포함하는 가장 작은 유리수의 확장체이다. ] 수학자들이 정의하는 체(Field) 는 0이 아닌 모든 원소가 unit 인]]></description><link>https://ecency.com/@beoped/q-sqrt-2-feat-root-2</link><guid isPermaLink="true">https://ecency.com/@beoped/q-sqrt-2-feat-root-2</guid><category><![CDATA[kr-math]]></category><dc:creator><![CDATA[beoped]]></dc:creator><pubDate>Fri, 08 Sep 2017 06:01:12 GMT</pubDate><enclosure url="https://i.ecency.com/p/2gsjgna1uruvUuS7ndh9YqVwYGPLVszbFLwwpAYXYST8hHzruPMQTiVuGeHzePQwx55M4VgSPiSZSqraKBTCXM41ex8HRWQuQyY32Yua8opCxiae9C?format=match&amp;mode=fit" length="0" type="false"/></item></channel></rss>