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DTSTART;TZID=Europe/Sofia:20210618T130000
DTEND;TZID=Europe/Sofia:20210618T143000
DTSTAMP:20210611T154058Z
CREATED:20210611T153200Z
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UID:10732-1624021200-1624026600@math.bas.bg
SUMMARY:Семинар "Алгебра и логика"
DESCRIPTION:На 18 юни 2021 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара “Алгебра и логика”. \nДоклад на тема \nPrimary decompositions of unital locally matrix algebras and Steinitz numbers\nще изнесе Bogdana Oliynik (National University of Kyiv-Mohyla Academy\, Kyiv\, Ukraine). \nРезюме. Let F be a ground field. An F-algebra A with unit 1 is said to be a locally matrix algebra if an arbitrary finite collection of elements a1\, . . . \, as from A lies in a subalgebra B with 1 of the algebra A\, and B is isomorphic to a matrix algebra Mn(F)\, n ≥. We assign a Steinitz number n(A) to an arbitrary unital locally matrix algebra A. In this talk\, we outline the construction of a unital locally matrix algebra of uncountable dimension that does not admit a primary de-composition. It gives negative answers to the question posed in V. M. Kurochkin\, On the theory of locally simple and locally normal algebras (Russian)\, Mat. Sb.\, Nov. Ser. 22(64) (1948)\, no. 3\, 443–454. We also show that for an arbitrary infinite Steinitz number s there exists a unital locally matrix algebra A having the Steinitz number s and being not isomorphic to a tensor product of finite dimensional matrix algebras. \nThis talk is based on the joint works with Oksana Bezushchak. \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: June 18\, 2021 01:00 PM Sofia\nMeeting ID: 851 3737 5021\nPasscode: 035647\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%b0-55/
LOCATION:Zoom
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F %D0%90%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":MAILTO:algebra_logic_seminar@math.bas.bg
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