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关于举办Rajab Ali Borzooei教授学术讲座的通知--2018西邮学术讲座第四十六讲

发布时间:2018年06月22日 10时06分25秒  浏览次数:

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应我校理学院邀请,伊朗沙希德贝赫什迪大学(Shahid BeheshtiUniversityRajab Ali Borzooei教授将于628日来我校做专题学术讲座,欢迎广大师生参加!报告的具体安排如下:

报告题目:On Filter Theory of LatticeEffect Algebras

报 告 人:Prof. Dr. Rajab Ali Borzooei

报告时间:2018628日(星期四)15:00-15:45

报告地点:理学院418

报告摘要:Orthomodular lattices have beenconsidered as a mathematical model for a calculus of quantum logic. Effectalgebras are a generalization of Orthomodular lattices and are also regarded asa mathematical model of quantum logic. A lattice effect algebra, is an effectalgebra E which is a lattice with respect to the partial ordering induced bythe operation of E. Now in this talk, first we introduce the notion of latticeeffect algebras and we give some of its properties. Then we define some typesof filters in lattice effect algebras, investigate some relations between themand introduce some new examples of lattice effect algebras. Then by using thestrong filter, we find a CI-lattice congruence on lattice effect algebras, suchthat the induced quotient structure of it is a lattice effect algebra, too.Finally, under some suitable conditions, we get a quotient MV-effect algebraand a quotient orthomodular lattice, by this congruence relation.

报告人简介:Prof. R. A. Borzooei is workingat Department of Mathematics, Shahid Beheshti University, Tehran, Iran. He hasreceived his Ph.D. at University of Kerman. He has published more than 200papers in several journals. He is working as an (managing) editor of 8journals. His mathematical research areas are algebra ( general algebralogical algebras)algebraic hyperstructuresfuzzy mathematics, algebraicgraphs and fuzzy graphs.

特此通知。

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