{"id":4942,"date":"2024-10-07T11:11:22","date_gmt":"2024-10-07T11:11:22","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=4942"},"modified":"2024-10-07T11:11:22","modified_gmt":"2024-10-07T11:11:22","slug":"what-is-ideal-with-example","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/10\/07\/what-is-ideal-with-example\/","title":{"rendered":"What is ideal with example?"},"content":{"rendered":"\n<p>For example,\u00a0<strong>the set of integers (\u2124) forms a ring with ordinary addition and multiplication<\/strong>. The set 3\u2124 formed by multiplying each integer by 3 forms an ideal, and the quotient ring \u2124\/3\u2124 has only three elements: 0 + 3\u2124 = 3\u2124 = {0, \u00b13, \u00b16, \u00b19,\u2026}<\/p>\n","protected":false},"excerpt":{"rendered":"<p>For example,\u00a0the set of integers (\u2124) forms a ring with ordinary addition and multiplication. The set 3\u2124 formed by multiplying each integer by 3 forms an ideal, and the quotient ring \u2124\/3\u2124 has only three elements: 0 + 3\u2124 = 3\u2124 = {0, \u00b13, \u00b16, \u00b19,\u2026}<\/p>\n","protected":false},"author":1,"featured_media":4604,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[583],"tags":[],"class_list":["post-4942","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ideal-and-real-gases-faqs-for-chemical-engineering"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/09\/gases.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4942","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=4942"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4942\/revisions"}],"predecessor-version":[{"id":4943,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4942\/revisions\/4943"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/4604"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=4942"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=4942"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=4942"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}