{"id":91,"date":"2025-06-16T09:40:58","date_gmt":"2025-06-16T02:40:58","guid":{"rendered":"https:\/\/algebra.math-ugm.id\/?p=91"},"modified":"2025-07-01T13:47:38","modified_gmt":"2025-07-01T06:47:38","slug":"the-algebra-colloquium","status":"publish","type":"post","link":"https:\/\/algebra.math-ugm.id\/id\/the-algebra-colloquium\/","title":{"rendered":"The Algebra Colloquium"},"content":{"rendered":"<p>Date: Wednesday, June 4, 2025.<\/p>\n<p>Venue: Online Via Zoom<\/p>\n<p>Speaker: Prof. J\u00f6rg Koppitz from the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences,<\/p>\n<p style=\"text-align: center;\"><em>&#8220;On Endomorphisms of Finite Star Graphs&#8221;<\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-92 aligncenter\" src=\"https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1.jpg\" alt=\"\" width=\"584\" height=\"350\" srcset=\"https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1.jpg 967w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1-300x180.jpg 300w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1-768x461.jpg 768w\" sizes=\"auto, (max-width: 584px) 100vw, 584px\" \/><\/p>\n<p style=\"text-align: justify;\">The event was opened by Prof. Yeni Susanti, who gave a brief introduction and highlighted some key topics in graph theory to provide context for the talk. Prof. Koppitz began by explaining the definition of a simple graph, then introduced the concept of endomorphisms on simple graphs and their classification. He extended these ideas to finite star graphs. He presented some classifications of endomorphisms on star graphs, namely wEndS_n, sEndS_n\u200b, and EndS_n\u200b, each capturing different structural properties.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-large wp-image-93 aligncenter\" src=\"https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1a-1024x311.jpg\" alt=\"\" width=\"640\" height=\"194\" srcset=\"https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1a-1024x311.jpg 1024w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1a-300x91.jpg 300w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1a-768x233.jpg 768w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1a.jpg 1226w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/p>\n<p style=\"text-align: justify;\">He continued by discussing the generating sets of the endomorphism monoid of a finite star graph and explained how to determine the rank of these sets.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-94 aligncenter\" src=\"https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1b-1024x324.jpg\" alt=\"\" width=\"725\" height=\"230\" srcset=\"https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1b-1024x324.jpg 1024w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1b-300x95.jpg 300w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1b-768x243.jpg 768w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1b-1536x486.jpg 1536w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1b.jpg 1596w\" sizes=\"auto, (max-width: 725px) 100vw, 725px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-95 aligncenter\" src=\"https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1c.jpg\" alt=\"\" width=\"430\" height=\"277\" srcset=\"https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1c.jpg 1025w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1c-300x194.jpg 300w, https:\/\/algebra.math-ugm.id\/wp-content\/uploads\/2025\/06\/kolokium1c-768x496.jpg 768w\" sizes=\"auto, (max-width: 430px) 100vw, 430px\" \/><\/p>\n<p style=\"text-align: justify;\">In the final part of his presentation, Prof. Koppitz shared an important result about the algebraic presentation of the endomorphism monoid of a finite star graph, offering a clearer understanding of its structure. The talk was informative and valuable for students and researchers interested in algebra and graph theory.<\/p>\n<p><\/p>","protected":false},"excerpt":{"rendered":"<p>Date: Wednesday, June 4, 2025. Venue: Online Via Zoom Speaker: [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-91","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/algebra.math-ugm.id\/id\/wp-json\/wp\/v2\/posts\/91","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/algebra.math-ugm.id\/id\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/algebra.math-ugm.id\/id\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/algebra.math-ugm.id\/id\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/algebra.math-ugm.id\/id\/wp-json\/wp\/v2\/comments?post=91"}],"version-history":[{"count":2,"href":"https:\/\/algebra.math-ugm.id\/id\/wp-json\/wp\/v2\/posts\/91\/revisions"}],"predecessor-version":[{"id":119,"href":"https:\/\/algebra.math-ugm.id\/id\/wp-json\/wp\/v2\/posts\/91\/revisions\/119"}],"wp:attachment":[{"href":"https:\/\/algebra.math-ugm.id\/id\/wp-json\/wp\/v2\/media?parent=91"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/algebra.math-ugm.id\/id\/wp-json\/wp\/v2\/categories?post=91"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/algebra.math-ugm.id\/id\/wp-json\/wp\/v2\/tags?post=91"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}