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Quantale代数余核的若干性质

Some Properties of Quantic Conuclei on Quantales
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摘要 在K.I.Rosenthal等人工作的基础上,对Quantale的代数余核及其对应的子Quantale的若干性质作了有限的探讨,主要讨论了Quantale代数余核的若干新的性质.同时对代数余核所构成的子Quantales亦作了某些研究.提出了一些新的定义,并总结了Quantale代数余核的相关性质.扩展和深化了已有文献的结论. According to the results of K.I.Rosenthal, some new properties of quantic conuclei were investigated, meanwhile subquantales constructing from quantic conuclei were studied. Some definitions and corresponding properties of the above subjects were established, which were new and complement previously known results.
作者 龙飞 肖劲松
出处 《湖南文理学院学报(自然科学版)》 CAS 2006年第2期4-6,共3页 Journal of Hunan University of Arts and Science(Science and Technology)
关键词 QUANTALE 代数余核 S-素元 子Quantale quantale quantic conuclei S-prime subquantale
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参考文献4

  • 1[1]Rosenthal K I.Quantales and their applications[M].Vol 234 of pitman Reserch Notes in Mathematics Series,Press in:Longman,Essex,1990.
  • 2[2]Susan B.Niefield and K.I.Rosental.Constructing locales from quantales[J].Math Proc Camb Phil Soc,1988,104:215-233.
  • 3[3]J W Pelletier.Simple Involutive Quantales[J],Joarnal of Algebra,1997,195:367-368.
  • 4[4]J Paseka,D Kraml.Embeddings of quantales into simple quantales[J].Journal of Pure and Applicd Algebra,2000,148:209-216.

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