{"version":"1.0","provider_name":"Faculty of Science","provider_url":"https:\/\/kibu.ac.ke\/fs","author_name":"kibabii","author_url":"https:\/\/kibu.ac.ke\/fs\/author\/kibabii\/","title":"Investigating the Relationship Between Algebras and Monotone Classes - Faculty of Science","type":"rich","width":600,"height":338,"html":"<blockquote class=\"wp-embedded-content\" data-secret=\"g29tSkbRHM\"><a href=\"https:\/\/kibu.ac.ke\/fs\/investigating-the-relationship-between-algebras-and-monotone-classes\/\">Investigating the Relationship Between Algebras and Monotone Classes<\/a><\/blockquote><iframe sandbox=\"allow-scripts\" security=\"restricted\" src=\"https:\/\/kibu.ac.ke\/fs\/investigating-the-relationship-between-algebras-and-monotone-classes\/embed\/#?secret=g29tSkbRHM\" width=\"600\" height=\"338\" title=\"&#8220;Investigating the Relationship Between Algebras and Monotone Classes&#8221; &#8212; Faculty of Science\" data-secret=\"g29tSkbRHM\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" class=\"wp-embedded-content\"><\/iframe><script type=\"text\/javascript\">\n\/* <![CDATA[ *\/\n\/*! This file is auto-generated *\/\n!function(d,l){\"use strict\";l.querySelector&&d.addEventListener&&\"undefined\"!=typeof URL&&(d.wp=d.wp||{},d.wp.receiveEmbedMessage||(d.wp.receiveEmbedMessage=function(e){var t=e.data;if((t||t.secret||t.message||t.value)&&!\/[^a-zA-Z0-9]\/.test(t.secret)){for(var s,r,n,a=l.querySelectorAll('iframe[data-secret=\"'+t.secret+'\"]'),o=l.querySelectorAll('blockquote[data-secret=\"'+t.secret+'\"]'),c=new RegExp(\"^https?:$\",\"i\"),i=0;i<o.length;i++)o[i].style.display=\"none\";for(i=0;i<a.length;i++)s=a[i],e.source===s.contentWindow&&(s.removeAttribute(\"style\"),\"height\"===t.message?(1e3<(r=parseInt(t.value,10))?r=1e3:~~r<200&&(r=200),s.height=r):\"link\"===t.message&&(r=new URL(s.getAttribute(\"src\")),n=new URL(t.value),c.test(n.protocol))&&n.host===r.host&&l.activeElement===s&&(d.top.location.href=t.value))}},d.addEventListener(\"message\",d.wp.receiveEmbedMessage,!1),l.addEventListener(\"DOMContentLoaded\",function(){for(var e,t,s=l.querySelectorAll(\"iframe.wp-embedded-content\"),r=0;r<s.length;r++)(t=(e=s[r]).getAttribute(\"data-secret\"))||(t=Math.random().toString(36).substring(2,12),e.src+=\"#?secret=\"+t,e.setAttribute(\"data-secret\",t)),e.contentWindow.postMessage({message:\"ready\",secret:t},\"*\")},!1)))}(window,document);\n\/\/# sourceURL=https:\/\/kibu.ac.ke\/fs\/wp-includes\/js\/wp-embed.min.js\n\/* ]]> *\/\n<\/script>\n","description":"2023 KIBU Authors Moses Kololi VIEW ON PUBLISHER SITE Abstract This research investigates algebras of subsets and their closure properties, focusing on their inclusion of the empty set and the whole set, as well as their closure under finite unions, finite intersections, and set-theoretic differences. Through a rigorous proof, we establish that every algebra of [&hellip;]"}