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X-WR-CALNAME:Institute of Mathematics and Informatics
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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART;TZID=Europe/Sofia:20241122T130000
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DTSTAMP:20260510T031159
CREATED:20241119T092125Z
LAST-MODIFIED:20241119T092125Z
UID:16941-1732280400-1732285800@math.bas.bg
SUMMARY:Семинар "Алгебра и логика"
DESCRIPTION:На 22 ноември 2024 г. (петък) от 13:00 часа в зала 578 на ИМИ\nще се проведе присъствено заседание на семинара по „Алгебра и логика”. \nДоклад на тема: \nOn Köthe’s normality question for locally finite-dimensional central division algebras\nще изнесе \nИван Чипчаков\, ИМИ – БАН. \nАбстракт. This talk considers Köthe’s question of whether every associative locally finite-dimensional (abbr.\, LFD) central division algebra R over a field K is a normally locally finite (abbr.\, NLF) algebra over K\, that is\, whether every nonempty finite subset Y of R is contained in a finite-dimensional central K-subalgebra RY of R. It shows that the answer to the posed question is negative if K is a purely transcendental extension of infinite transcendence degree over an algebraically closed field k. On the other hand\, central division LFD-algebras over K turn out to be NLF in the following special cases: (i) K is a field of finite Diophantine dimension\, for example\, if K is a finitely-generated extension of a finite or a pseudo-algebraically closed field; (ii) K is a higher-dimensional local field with a finite last residue field. \nПоканват се всички желаещи да присъстват. \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%b0-115/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
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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