期刊文献+

关于一族模的任意重张量积的实性 被引量:1

Reality of the arbitrary-fold tensor products of an arbitrary family module
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摘要 引进一族模的任意重张量积的概念.通过建立一个充分必要条件,模的任意重张量积的半实性被得到刻画。此外,本文给出了一族模的张量积具有序的一些充分必要条件。 In this paper,the notion of arbitrary-fold tensor products of modules was introduced.With the establishing the necessary and sufficient conditions,the semi-reality of arbitrary-fold tensor products of modules was characterized.Moreover,some necessary and sufficient conditions for the tensor product of an arbitrary family of modules to possess an ordering was present.
出处 《南昌大学学报(理科版)》 CAS 北大核心 2014年第4期324-329,共6页 Journal of Nanchang University(Natural Science)
基金 国家自然科学基金项目(10971044) 海南大学青年基金项目(qnjj1246)
关键词 半实模 任意重张量积 module semireal module ordering arbitrary-fold tensor products
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参考文献10

  • 1PRESTEL A. I.ectures on Formally Real Fields[M].In: Lecture Notes in Mathematics, vol. 1093. Berlin- Heidelberg-New York: Springer-Verlag, 1984.
  • 2LAM T Y. An Introduction to Real Algebra[J]. Rocky Mountain J Math, 1984,14(4) :767-814.
  • 3LAM T Y. The Theory of Ordered Fields[M]. In: l.ec- ture Notes in Pure and Appl Math, New York: Dek- ker,1980,55.
  • 4MARSHALL M. Orderings and Real Places on Com- mutative Rings[J]. Jour Alg, 1991,140:485-501.
  • 5ZENG G. X. On Formally Real Modules[J]. Comm. Al- gebra,1999,27(2) :5847-5856.
  • 6HUANG D M. Orderings and Preorderings on Mod- ules[J]. J Math Comput Sci,2014,4(3) :574-586.
  • 7黄冬明,曾广兴.关于半实模的张量积[J].南昌大学学报(理科版),2004,28(2):124-129. 被引量:1
  • 8CHUNG I Y. Direct Decomposition of Tensor Products into Subtensor Products[J]. Proc Amer Math Soe, 1973,37:1-9.
  • 9LU C P. Spectra of Modules [J]. Comm. Algebra, 1995,175 : 3741-3752.
  • 10ATIYAH M F, MACDONALD I G. Introduction to Commutative Algebra [ M]. Menlo Park, California- London-Don Mill, Ontario : Addison-Wesley, 1969.

二级参考文献2

  • 1Zeng Guangxing. On Formally Real Modules[J]. Comm.Algebra, 1999, 27(2) :5 847- 5 856.
  • 2Atiyah M F. Macdonald I G. Introduction to Commutative Algebra[ M]. Addison - Wesley, 1969.

同被引文献6

  • 1丛金明,张长温,李可峰.超线性空间[J].济南大学学报(自然科学版),2007,21(3):264-266. 被引量:1
  • 2CASTON L,FIORESI R.Mathematical Foundations of Supersymmetry[J].Rings and Algebras,2007,3:9-21.
  • 3FARID Makhsoos,MAJID Bashour.Z 3-Graded Geometric Algebra[J].Adv Studies Theor Physics,2010,4(8):383-392.
  • 4孟道骥,白树伟.左对称代数[J].南开大学学报:理科版,1995,28(4):1-6.
  • 5LE Roy,BERTRAND.A Z 3-graded generalization of supersymmetry[J].Journal of Mathematical Physics,1996,37(1):474-483.
  • 6JOSEPH J.Rotman.Advanced Modern Algebra[M].Bei Jing:Higher Education,2004:714-780.

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