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diff --git a/archives/index.html b/archives/index.html
@@ -56,6 +56,28 @@
 
 
 
+<div class="post-header archive">
+  <div class="post-title">
+
+    <a href=https://eliasjudin.github.io/blog/free-semimodules-and-their-examples/ style="text-decoration: none">
+      <b>Free Semimodules and Their Examples</b>
+    </a>
+    <span> - </span>
+    <em>August 22, 2024</em>
+
+  </div>
+  <div class="post-tags">
+
+    <a href="/tags/category-theory">category-theory</a>
+
+    <a href="/tags/universal-algebra">universal-algebra</a>
+
+  </div>
+</div>
+<hr />
+
+
+
 <div class="post-header archive">
   <div class="post-title">
 

diff --git a/blog/free-semimodules-and-their-examples/index.html b/blog/free-semimodules-and-their-examples/index.html
@@ -0,0 +1,152 @@
+<!DOCTYPE html>
+<html>
+  <head>
+    <meta charset="UTF-8">
+    <meta name="viewport" content="width=device-width,initial-scale=1">
+    <title>Free Semimodules and Their Examples | Elias Judin</title>
+    <meta name="description" content="Free semimodules and their examples by Elias Judin" />
+    <link rel="stylesheet" href="/assets/css/style.css" type="text/css">
+    <meta name="google-site-verification" content="woicpQb3QYBpCMz2BHOxKJ5K0KwbH2FN-PYSu8jYaaI" />
+    <meta rel="me" href="https://mathstodon.xyz/@e_l" />
+</head>
+  <body>
+
+<a href="/">
+
+  <img src="/assets/images/banner.svg" />
+
+</a>
+<hr \>
+<footer>
+  <ul>
+
+      <li>
+        <a href=/>about</a>
+      </li>
+
+      <li>
+        <a href=/gallery>gallery</a>
+      </li>
+
+      <li>
+        <a href=/blog>blog</a>
+      </li>
+
+      <li>
+        <a href=/archives>(list)</a>
+      </li>
+
+      <li>
+        <a href=/conversation>conversation</a>
+      </li>
+
+      <li>
+        <a href=/cv>cv</a>
+      </li>
+
+
+    </ul>
+</footer>
+    <main>
+
+
+
+
+
+
+
+<h2>Free Semimodules and Their Examples</h2>
+
+
+
+
+<em>August 22, 2024</em>
+
+
+
+
+<div class="pdf-container">
+  <object data="#ZgotmplZ" 
+          type="application/pdf"
+          width="100%" 
+          height="600px">
+      <p>It appears you don't have a PDF plugin for this browser. 
+      No worries, you can <a href="#ZgotmplZ">click here to download the PDF file.</a></p>
+  </object>
+</div>
+
+
+<p>
+
+</p>
+
+<p>
+
+
+<em>Tags: 
+
+
+
+
+
+
+
+  <a href=https://eliasjudin.github.io/tags/category-theory/>category-theory</a>
+
+
+
+
+
+
+
+  <a href=https://eliasjudin.github.io/tags/universal-algebra/>universal-algebra</a>
+
+
+
+</em>
+
+
+
+</p>
+
+
+    </main>
+    <footer>
+    <hr />
+    <ul>
+      <li>
+        <em id="updated">Updated: August 22, 2024</em>
+      </li>
+    </ul>
+</footer>
+<script type="text/javascript" async
+  src="https://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS-MML_HTMLorMML">
+  MathJax.Hub.Config({
+  tex2jax: {
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+
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+  </body>
+</html>
diff --git a/blog/index.html b/blog/index.html
@@ -68,6 +68,50 @@
 
 
 
+
+
+
+
+
+
+
+
+<div class="post-header">
+  <div class="post-title">
+
+    <a href=https://eliasjudin.github.io/blog/free-semimodules-and-their-examples/>
+      <h3>Free Semimodules and Their Examples</h3>
+    </a>
+
+    <em>August 22, 2024</em>
+
+  </div>
+</div>
+
+
+<div class="list-content">
+
+
+<div class="pdf-container">
+  <object data="#ZgotmplZ" 
+          type="application/pdf"
+          width="100%" 
+          height="600px">
+      <p>It appears you don't have a PDF plugin for this browser. 
+      No worries, you …</p></div>
+</div>
+
+<hr />
+
+
+
+
+
+
+
+
+
+
 
 
 

diff --git a/blog/index.xml b/blog/index.xml
@@ -6,8 +6,15 @@
     <description>Recent content in Blog on Elias Judin</description>
     <generator>Hugo</generator>
     <language>en-us</language>
-    <lastBuildDate>Sat, 17 Dec 2022 12:45:05 +0200</lastBuildDate>
+    <lastBuildDate>Thu, 22 Aug 2024 14:19:43 +0200</lastBuildDate>
     <atom:link href="https://eliasjudin.github.io/blog/index.xml" rel="self" type="application/rss+xml" />
+    <item>
+      <title>Free Semimodules and Their Examples</title>
+      <link>https://eliasjudin.github.io/blog/free-semimodules-and-their-examples/</link>
+      <pubDate>Thu, 22 Aug 2024 14:19:43 +0200</pubDate>
+      <guid>https://eliasjudin.github.io/blog/free-semimodules-and-their-examples/</guid>
+      <description>It appears you don&#39;t have a PDF plugin for this browser. No worries, you can click here to download the PDF file.</description>
+    </item>
     <item>
       <title>Monomorphisms and epimorphisms</title>
       <link>https://eliasjudin.github.io/blog/monos-and-epis/</link>

diff --git a/index.xml b/index.xml
@@ -6,8 +6,15 @@
     <description>Recent content in home on Elias Judin</description>
     <generator>Hugo</generator>
     <language>en-us</language>
-    <lastBuildDate>Sat, 17 Dec 2022 12:45:05 +0200</lastBuildDate>
+    <lastBuildDate>Thu, 22 Aug 2024 14:19:43 +0200</lastBuildDate>
     <atom:link href="https://eliasjudin.github.io/index.xml" rel="self" type="application/rss+xml" />
+    <item>
+      <title>Free Semimodules and Their Examples</title>
+      <link>https://eliasjudin.github.io/blog/free-semimodules-and-their-examples/</link>
+      <pubDate>Thu, 22 Aug 2024 14:19:43 +0200</pubDate>
+      <guid>https://eliasjudin.github.io/blog/free-semimodules-and-their-examples/</guid>
+      <description>It appears you don&#39;t have a PDF plugin for this browser. No worries, you can click here to download the PDF file.</description>
+    </item>
     <item>
       <title>Monomorphisms and epimorphisms</title>
       <link>https://eliasjudin.github.io/blog/monos-and-epis/</link>

diff --git a/sitemap.xml b/sitemap.xml
@@ -3,18 +3,24 @@
   xmlns:xhtml="http://www.w3.org/1999/xhtml">
   <url>
     <loc>https://eliasjudin.github.io/blog/</loc>
-    <lastmod>2023-07-08T17:04:43+02:00</lastmod>
-  </url><url>
-    <loc>https://eliasjudin.github.io/</loc>
-    <lastmod>2023-07-08T17:04:43+02:00</lastmod>
+    <lastmod>2024-08-22T14:19:43+02:00</lastmod>
   </url><url>
     <loc>https://eliasjudin.github.io/tags/category-theory/</loc>
-    <lastmod>2022-12-17T12:45:05+02:00</lastmod>
+    <lastmod>2024-08-22T14:19:43+02:00</lastmod>
   </url><url>
-    <loc>https://eliasjudin.github.io/blog/monos-and-epis/</loc>
-    <lastmod>2022-12-17T12:45:05+02:00</lastmod>
+    <loc>https://eliasjudin.github.io/blog/free-semimodules-and-their-examples/</loc>
+    <lastmod>2024-08-22T14:19:43+02:00</lastmod>
+  </url><url>
+    <loc>https://eliasjudin.github.io/</loc>
+    <lastmod>2024-08-22T14:19:43+02:00</lastmod>
   </url><url>
     <loc>https://eliasjudin.github.io/tags/</loc>
+    <lastmod>2024-08-22T14:19:43+02:00</lastmod>
+  </url><url>
+    <loc>https://eliasjudin.github.io/tags/universal-algebra/</loc>
+    <lastmod>2024-08-22T14:19:43+02:00</lastmod>
+  </url><url>
+    <loc>https://eliasjudin.github.io/blog/monos-and-epis/</loc>
     <lastmod>2022-12-17T12:45:05+02:00</lastmod>
   </url><url>
     <loc>https://eliasjudin.github.io/blog/hom-sets/</loc>
@@ -34,9 +40,6 @@
   </url><url>
     <loc>https://eliasjudin.github.io/blog/free_algebras_by_means_of_a_universal_property/</loc>
     <lastmod>2022-06-27T12:22:12+02:00</lastmod>
-  </url><url>
-    <loc>https://eliasjudin.github.io/tags/universal-algebra/</loc>
-    <lastmod>2022-06-27T12:22:12+02:00</lastmod>
   </url><url>
     <loc>https://eliasjudin.github.io/blog/category_of_modules_and_vector_spaces_as_algebraic_categories/</loc>
     <lastmod>2022-06-26T18:56:48+02:00</lastmod>

diff --git a/tags/category-theory/index.html b/tags/category-theory/index.html
@@ -70,6 +70,50 @@ <h2>Category-Theory</h2>
 
 
 
+<div class="post-header">
+  <div class="post-title">
+
+    <a href=https://eliasjudin.github.io/blog/free-semimodules-and-their-examples/>
+      <h3>Free Semimodules and Their Examples</h3>
+    </a>
+
+    <em>August 22, 2024</em>
+
+  </div>
+</div>
+
+
+<div class="list-content">
+
+
+<div class="pdf-container">
+  <object data="#ZgotmplZ" 
+          type="application/pdf"
+          width="100%" 
+          height="600px">
+      <p>It appears you don't have a PDF plugin for this browser. 
+      No worries, you …</p></div>
+</div>
+
+<hr />
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
 <div class="post-header">
   <div class="post-title">
 

diff --git a/tags/category-theory/index.xml b/tags/category-theory/index.xml
@@ -6,8 +6,15 @@
     <description>Recent content in Category-Theory on Elias Judin</description>
     <generator>Hugo</generator>
     <language>en-us</language>
-    <lastBuildDate>Sat, 17 Dec 2022 12:45:05 +0200</lastBuildDate>
+    <lastBuildDate>Thu, 22 Aug 2024 14:19:43 +0200</lastBuildDate>
     <atom:link href="https://eliasjudin.github.io/tags/category-theory/index.xml" rel="self" type="application/rss+xml" />
+    <item>
+      <title>Free Semimodules and Their Examples</title>
+      <link>https://eliasjudin.github.io/blog/free-semimodules-and-their-examples/</link>
+      <pubDate>Thu, 22 Aug 2024 14:19:43 +0200</pubDate>
+      <guid>https://eliasjudin.github.io/blog/free-semimodules-and-their-examples/</guid>
+      <description>It appears you don&#39;t have a PDF plugin for this browser. No worries, you can click here to download the PDF file.</description>
+    </item>
     <item>
       <title>Monomorphisms and epimorphisms</title>
       <link>https://eliasjudin.github.io/blog/monos-and-epis/</link>

diff --git a/tags/index.html b/tags/index.html
@@ -61,19 +61,19 @@ <h2>Tags</h2>
 
 
 <ul>
-  <li><a href=https://eliasjudin.github.io/tags/art/>Art</a></li>
+  <li><a href=https://eliasjudin.github.io/tags/universal-algebra/>Universal-Algebra</a></li>
 </ul>
 
 
 
 <ul>
-  <li><a href=https://eliasjudin.github.io/tags/differential-geometry/>Differential Geometry</a></li>
+  <li><a href=https://eliasjudin.github.io/tags/art/>Art</a></li>
 </ul>
 
 
 
 <ul>
-  <li><a href=https://eliasjudin.github.io/tags/universal-algebra/>Universal-Algebra</a></li>
+  <li><a href=https://eliasjudin.github.io/tags/differential-geometry/>Differential Geometry</a></li>
 </ul>