期刊文献+

l-群极小素子群的一种结构 被引量:3

A Structure of Minimal Prime Subgroups of an l-Group
下载PDF
导出
摘要 在l-群的极小子群研究的基础上就某些特殊类的l-群建立了极小素子群的一种结构N=a^⊥。 On the basis of the previous research result, a structure N=a^⊥ of minimal prime subgroups for some special classes of l-groups is establisned in this artcle.
出处 《江西理工大学学报》 CAS 2007年第1期60-62,共3页 Journal of Jiangxi University of Science and Technology
关键词 L-群 极小素子群 极小条件 特殊元 特殊值 l-group minimal prime subgroup minimal condition special element special value
  • 相关文献

参考文献7

  • 1Glass A M W,Holland W C.Lattice-ordered Groups[M].Kluwer Academic Publishers,1989.
  • 2吕新民,漆芝南.l-群的极小素子群[J].Journal of Mathematical Research and Exposition,2002,22(4):647-650. 被引量:5
  • 3Conrad P.Lex-subgroups of lattice-ordered groups[J].Czech Math J.1968,18(93):86-103.
  • 4Conrad P.The lattice of all convex l-subgroups of a lattice-ordered group[J].Czech Math J.1965,15(90):110-123.
  • 5漆芝南,李思泽.关于扭类 B_n 和 B_ω[J].数学杂志,1993,13(2):189-194. 被引量:11
  • 6Weinberg E C.Complete distributive lattice-ordered groups[J].Pacific J Math.1962.12:1131-1137.
  • 7Bigard A,Keimel K and Woffenstein S.Groupes et Anneaux Reticules[M].Springer-Verlag Berlin,1977.

二级参考文献7

  • 1漆芝南.阿贝尔群的完整子半群的若干结果[J].数学进展,1995,24(2):169-174. 被引量:4
  • 2CONRAD P. The structure of an l-group that is determined by its prime subgroups [J]. Lecture Notes in Pure and Applied Math. Marcel Mekler, 1980, 62: 1-27.
  • 3CONRAD P. Minimal prime subgroups of lattice-ordered groups [J]. Czech. Math.J, 1980, 30(105): 280-295.
  • 4ZHEN Xi-qian, QI Zhi-nan. The complete sublattice of the lattice of convex l-subgroups of an l-group that is generated by its polar subgroups [J]. Algebra Univers, 1997, 37: 374-390.
  • 5GIASS A M W, HOLLAND W C. Lattice-Ordered Groups [M]. Kluwer Academic Publishers, 1989.
  • 6CONRAD P. The lattice of all convex l-subgroups of a lattice-ordered group [J]. Gzech. Math. J, 1965, 15(90): 110-123.
  • 7漆芝南.可换群的完整子半群[J].数学年刊(A辑),1992,1(6):739-745. 被引量:7

共引文献10

同被引文献25

  • 1Steinberg S A. Lattice-ordered Rings and Modules [M]. Berlin: Springer, 2010.
  • 2Kezlan T P. A Oote on Algebra Automorphisms of Triangular Matrices over Commutative Rings[J]. Linear Algebra Appl, 1990(135):181-184.
  • 3Cao Youart Automorphisms of Certain Lie Algebra of Upper Triangular Matrices over a Commutative ring[J]. J Algebra, 1994(170):101-110.
  • 4Cao C, Zhang X. Muhiplicative Semigroup Automorphisms of Upper Triangular Matrices over Rings [J]. Linear Algebra Appl, 1998, 278:85-90.
  • 5Wang Dengyin, Yu Qiu, Zhao Yanxia. Automorphisms of a Linear Lie Algebra over a Commutative Ring [J]. Linear Algebra Appl, 2007 (423) :324-331.
  • 6Ou Shikun, Wang Dengyin, Xia Chunguang. Automorphisms of a Nilpotent Lie Algebra over a Commutative Ring [J]. Lin Mul Alg, 2009,57(1):75-85.
  • 7Barker G P.Automorphisms groups of algebras of triangular matrices[J].Linear Algebra and its Applications,1989(121):207-215.
  • 8J(ψ)ndrup S.The group of automorphisms of certain subalgebras of matrix algebras[J].Journal of Algebra,1991(141):106-114.
  • 9Coelho S P.The automorphism group of a structural matrix algebra[J].Linear Algebra and its Applications,1993(195):35-58.
  • 10Wang Dengyin,Yu Qiu,Zhao Yanxia.Automorphisms of the standard borel subgroup of orthogonal group O(2m,R) over commutative rings[J].Journal of Algebra,2007,317(2):534-543.

引证文献3

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部