北航数学与系统科学学院2017博士生导师：杨义川

北航数学与系统科学学院2017博士生导师：杨义川

　　姓 名 杨义川

　　职 称 教授

　　所属系别 数学系

　　学科专业 逻辑代数、序代数、软计算及其应用

　　办公地点 主楼210

　　办公电话

　　电子邮件ycyang@buaa.edu.cn

　　科研项目

　　主持和或主持完成的科研项目：国家自然科学面上基金、北京市优秀人才、教育部博士点基金、教育部留学回国科研启动基金、北京市自然科学面上基金、中央高校领航基金等

　　发表论文

　　在国内外重要刊物发表专业论文40余篇，解决或本质推进了国际数学家提出的系列长期未决的公开数学问题。有欧洲学者以其名字命名数学定理。部分论文:

　　[1] On the existence of directed rings and algebras with negative squares，Journal of Algebra, 2006, Vol. 295, No.2，452-457

　　[2] Fields with directed partial orders, with N. Schwartz, Journal of Algebra 336 (2011): 342–348

　　[3] Non-archimedean directed fields K(i) with o-subfield K and i^2 =-1, with W. Rump, Journal of Algebra 400 (2014): 1-7

　　[4] Hereditary arithmetics, with W. Rump, Journal of Algebra 468 (2016): 214-252

　　[5] Jaffard-Ohm correspondence and Hochster duality, with W. Rump, Bulletin of the London Math. Soc.,(2008) 40(2):263-273

　　[6] A problem of annihilator primes in MV-algebras, Journal of Pure and Applied Algebra, (2009)213(10) 1901-1904

　　[7] Lateral completion and structure sheaf of an Archimedean l-group, with W. Rump, Journal of Pure and Applied Algebra，213(2009), 136-143

　　[8] Non-commutative logical algebras and algebraic quantales, with W. Rump, Ann. Pure Appl. Logic 165 (2014), no. 2, 759-785

　　[9] Some remarks on almost l-groups, Archiv der Mathematik, 91(2008)，392-398

　　[10] The essential cover and the absolute cover of a schematic space, with W. Rump,Colloquium Mathematicum, 114(2009), 63-75

　　[11] A lattice-ordered skew-field is totally ordered if squares are positive, American Mathematical Monthly, 2006，Vol. 113, No. 3, 265-266

　　[12] Note on Lattice-ordered Rings with Positive Squares, with Y. Sun, ALGEBRA COLLOQUIUM, 2013(20)3, 417-420

　　[13] Intervals in l-groups as L-algebras, with W. Rump, ALGEBRA UNIVERSALIS, 201 (67)2, 121-130

　　[14] Pseudo-MV algebras as L-algebras, with W. Rump, JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING,2012(19)5-6, 621-632

　　[15] A Characterization of l-Ideals in l-Groups, with L. Liu, ALGEBRA COLLOQUIUM, 2011(18)4, 659-662

　　[16] Bases of Pre-Riesz Groups and Conrad's F-Condition, with M. Zafrullah, ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2011(36)6, 1047-1061

　　[17] A Note on Bosbach's Cone Algebras, with W. Rump, STUDIA LOGICA, 2011(98)3, 375-386

　　[18] BEZOUT DOMAINS WITH NONZERO UNIT RADICAL, with W. Rump, COMMUNICATIONS IN ALGEBRA, 2010(38)3, 1084-1092

　　[19] The C-topology on lattice-ordered groups, SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009(52)11, 2397-2403

　　[20] Representations of nonstandard Poincare Hopf algebras, with S. Yang, COMMUNICATIONS IN ALGEBRA, 2008(36)2, 732-748

　　[21] l-groups and Bezout domains, Universitat Stuttgart, PhD thesis, 2006

　　[22] Some irreducible representations of Brauer's centralizer algebras, with J. Hu, GLASGOW MATHEMATICAL JOURNAL, 2004(46), 499-513

　　招生讯息：2017 年计划招收硕士生1名，博士生1名。

　　来访合作：欢迎优秀学者来北航做访问学者或博士后。

　　科研兴趣：半环、逻辑代数、序代数、软计算及应用。

　　招生要求：诚实懂礼、积极向上、有代数与拓扑基础。