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DTSTART;TZID=Europe/Sofia:20210521T160000
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SUMMARY:Семинар "Алгебра и логика"
DESCRIPTION:На 21 май 2021 г. (петък) от 16:00 часа ще се проведе дистанционно заседание на семинара “Алгебра и логика”. \nДоклад на тема \nGroup gradings on incidence algebras\nще изнесе Ednei Aparecido Santulo Jr. (Universidade Estadual de Maringá\, Paraná\, Brazil). \nРезюме. This is a joint work with Felipe Y. Yasumura and Jonathan P. Souza. \nThe main goal of this talk is presenting the classification of group gradings on incidence algebras as obtained in [2]. To do so\, we start by defining incidence algebras and emphasizing their resemblances and differences relative to the algebra of upper triangular matrices. We recall the classification of group gradings on the algebra of upper triangular matrices with entries in a field obtained by Di Vincenzo\, Koshlukov and Valenti in [1] and generalized in [3] by Valenti and Zaicev. Then we present some examples to show that a similar result cannot be true in the general context of incidence algebras. Since good and elementary gradings play a major role in the classification of group gradings in the case of upper triangular matrices\, we present the natural generalization of those concepts in the context of incidence algebras (and even in more general contexts than that of matrix algebras). Since it is impossible\, due to time\, to present the proofs of the lemmas used to obtain the main result in a level of details necessary to understand them completely\, we decided to describe how we were led to those lemmas\, believing that\, with that approach\, the attendants can get more intuition about the situation we dealt with and\, consequently\, they may be more interested in studying incidence algebras (or group gradings on algebras)\, beyond the problem presented in our talk\, in the future. \n[1] O.M. Di Vincenzo\, P. Koshlukov\, A. Valenti\, Gradings on the algebra of upper triangular matrices and their graded identities\, J. Algebra 275(2) (2004) 550–566.\n[2] E.A. Santulo Jr.\, J.P. Souza\, F.Y. Yasumura\, Group gradings on finite dimensional incidence algebras\, J. Algebra 544 (2) (2020) 302-328.\n[3] A. Valenti\, M.V. Zaicev\, Group gradings on upper triangular matrices\, Arch. Math. 89(1) (2007) 33–40. \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: May 21\, 2021 04:00 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%b0-51/
LOCATION:Zoom
CATEGORIES:Редовен семинар
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