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DTSTART;TZID=Europe/Sofia:20221021T130000
DTEND;TZID=Europe/Sofia:20221021T143000
DTSTAMP:20260622T163626
CREATED:20221018T214539Z
LAST-MODIFIED:20221018T214539Z
UID:12983-1666357200-1666362600@math.bas.bg
SUMMARY:Семинар "Алгебра и логика"
DESCRIPTION:На 21 октомври 2022 г. (петък) от 13:00 ч. ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. \nДоклад на тема: \nRanks and Presentations for Order-Preserving Transformations with One Fixed Point\nще изнесе Jörg Koppitz (съвместна работа със S. Worawiset). \n\nАбстракт. We consider the semigroup (no monoid) of all order-preserving full transformations α on an n-element chain Xn = {1 < 2 …< n}\, where p is the only fixed point in α\, for some given p ∈Xn\, denoted by On\,p. This semigroup is nilpotent. In particular\, the semigroup On\,1 (i.e. p = 1) is already well studied\, since it is the maximal nilpotent subsemigroup of the Catalan monoid. But the semigroup On\,p is still not well studied for p > 1 except of p = n since On\,n is isomorphic to On\,1. We determine the rank of On\,p (it is Cp-1Cn-p – Cp-2Cn-p-1) and give a presentation of On\,p in (Cn-1 – Cn-2) generators and (1 + Cn-1 – Cn-2)(Cn-1 – Cn-2) relations. We illustrate the result for n = 4. \n  \n\n\nСеминарът ще се проведе посредством платформата Zoom и всеки желаещ може да се присъедини като последва линка: \nhttps://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09 \nTopic: Онлайн семинар на секция “Алгебра и логика”\nTime: Oct 21\, 2022 01:00 PM Sofia\nMeeting ID: 851 3737 5021\nPasscode: 035647 \n\n\nОт секция „Алгебра и логика” на ИМИ – БАН\nhttp://www.math.bas.bg/algebra/seminarAiL/\n============================== =====================
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%b0%d0%bb%d0%b3%d0%b5%d0%b1%d1%80%d0%b0-%d0%b8-%d0%bb%d0%be%d0%b3%d0%b8%d0%ba%d0%b0-89/
LOCATION:Zoom
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F%20%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0%20%D0%B8%20%D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0":MAILTO:algebra_logic_seminar@math.bas.bg
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