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模上的实赋值与高层序的相容性 被引量:1

The Harmony and Compatibility of Valuations with Higher Level Orderings on A Module
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摘要 引进了模上赋值与高层序的融洽和相容等概念,由此研究模上赋值与高层序之间的密切关系。研究的结果表明,模上赋值与高层序之间的融洽和相容并不等价,这有别于模上赋值与普通序(即一层序)。 The harmony and compatibility of valuations with higher level orderings on a module are introduced, and the close interplay between valuations and higher level orderings is investigated. The results in this paper show that the harmony andcompatibility of valuations with higher level orderings on a module are not equivalent, which is a difference between higher level orderings and ordinary orderings ( i. e. orderingsof level 1 ).
机构地区 南昌大学数学系
出处 《南昌大学学报(理科版)》 CAS 北大核心 2007年第3期219-223,228,共6页 Journal of Nanchang University(Natural Science)
基金 国家重点基础研究发展规划(973)项目(2004CB318000)
关键词 赋值 高层序 融洽 相容 module valuation higher level ordering harmony compatibility
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  • 1曾广兴,黄桃荣.交换环的M-赋值与序的相容性[J].南昌大学学报(理科版),2007,31(3):205-208. 被引量:2
  • 2Manis M E. Valuations on a commutative Ring[J] .Proc Amer Math Soc,1969(20) :193 - 198.
  • 3Zhang I)igen.The M-valuation spectrum of a commutative Ring[J]. Comm AIge,2002(30):2883 -2896.

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