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关于举办Rajab Ali Borzooei教授学术讲座的通知
2018-06-20 17:00  

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应我校理学院邀请,伊朗沙希德贝赫什迪大学(Shahid Beheshti University)Rajab Ali Borzooei教授将于6月28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 Lattice Effect Algebras

报 告 人:Prof. Dr. Rajab Ali Borzooei

报告时间:2018年6月28日(星期四)15:00-15:45

报告地点:理学院418室

报告摘要:Orthomodular lattices have been consideredas a mathematical model for a calculus of quantum logic. Effect algebras are ageneralization of Orthomodular lattices and are also regarded as a mathematicalmodel of quantum logic. A lattice effect algebra, is an effect algebra E whichis a lattice with respect to the partial ordering induced by the operation ofE. Now in this talk, first we introduce the notion of lattice effect algebrasand we give some of its properties. Then we define some types of filters inlattice effect algebras, investigate some relations between them and introducesome new examples of lattice effect algebras. Then by using the strong filter,we find a CI-lattice congruence on lattice effect algebras, such that theinduced quotient structure of it is a lattice effect algebra, too. Finally,under some suitable conditions, we get a quotient MV-effect algebra and aquotient orthomodular lattice, by this congruence relation.

报告人简介:Prof. R. A. Borzooei is working atDepartment of Mathematics,ShahidBeheshtiUniversity,Tehran,Iran. He has received his Ph.D. atUniversityofKerman. 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 algebra,logical algebras),algebraic hyperstructures,fuzzy mathematics, algebraic graphs andfuzzy graphs.  

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2018年6月22日    

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