대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제14권1호
  • /
  • Pages.1-12
  • /
  • 1999
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

ON THE CHAIN CONDITIONS OF A FAITHFUL ENDO-FLAT MODULE

  • 발행 : 1999.01.01
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초록

The faithful bi-module \ulcornerM\ulcorner with its endomorphism ring End\ulcorner(M) such that M\ulcorner is flat (in other words, End\ulcorner(M)-flat, or endo-flat)and with a commutative ring R containing an identity has been studied in this paper. The chain conditions of a faithful endo-flat module \ulcornerM relative to those of the endomorphism ring End\ulcorner(M) having the zero annihilator of each non-zero endomorphism are studied.

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참고문헌

  1. Introduction of Commutative Algebra M.F. Atyah Frs;I.G. macdonald
  2. Lectures on Rings and Modules (2nd ed.) J. Lambek
  3. Arch. Math. v.27 Rings whose faithful modules ar flat over their endomorphism rings V.P. Camillo;K.R. Fuller
  4. Journal of Algebra v.122 Correspondence theorems for modules and their endomorphism rings S.M. Khuri
  5. Rings and categories of modules (2nd ed.) F.W. Anderson;K.R. Fuller
  6. Pussan Kyongnam mathematical Journal v.12 no.2 On the Chain donditions of the endomorphism ring and of a flat module Soon-Sook Bae