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ON ALMOST PRECOVERS AND ALMOST PREENVELOPES

ON ALMOST PRECOVERS AND ALMOST PREENVELOPES
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摘要 Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a weak C-cover is a weak C-cover. Then the notion of almost C-preenvelopes is introduced and studied. Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct sum of an almost C-cover and a weak C-cover is a weak C-cover. Then the notion of almost C-preenvelopes is introduced and studied.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2006年第3期395-400,共6页 数学物理学报(B辑英文版)
基金 This research was partially supported by the Specialized Research Fund for the Doctoral Program of Higher ducation of China (20020284009, 20030284033) NSF of China (10331030) Jiangsu Planned Projects for Postdoctoral Research Funds (0203003403)the Postdoctoral Research Funds of China (2006037713)and the Nanjing Institute of Technology of China.
关键词 Almost precover almost preenvelope Almost precover, almost preenvelope
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参考文献5

  • 1Anderson F W, Fuller K R. Rings and Categories of Modules. New York: Springer-Verlag. 1974
  • 2Xu J. Flat Covers of Modules. In: Lecture Notes in Mathematics 1634. Berlin, Heidelberg, New York:Springer Verlag, 1996
  • 3Enochs E E. Injective and flat covers, envelopes and resolvents. Israel J Math, 1981, 39:189-209
  • 4Bican L, Torrecillas B. Almost precovers. Comm Algebra, 2002, 30:477-487
  • 5Bican L, Bashir E, Enochs E E: All modules have flat covers. Bull London Math Soc, 2001, 33:385-390

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