Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

MODULES WITH PRIME ENDOMORPHISM RINGS

  • Published : 2001.09.01
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Abstract

Some discrimination of modules whose endomorhism rings are prime is introduced, by means of structures of submodules inducing prime ideals of the endomorphism ring End(sub)R (M) of a left R-module (sub)RM over a ring R. Modules with non-prime endomorphism rings are contrapositively studied as well.

Keywords

References

  1. Introduction to Commutative Algebra M.F.Atiyah Frs;I.G.Macdonald
  2. Algebra T.W.Hungerford
  3. Lectures on Rings and Modules(2nd ed.) J.Lambek
  4. Arch.Math.(Basel) v.27 Rings whose faithful modules are flat over their endomorphism rings V.P.Camillo;K.R.Fuller
  5. Rings and Categories of modules(2nd ed.) F.W.Anderson;K.R.Fuller
  6. East Asian Mathematical Journal v.16 no.1 On Submodules inducing Prime Ideals of Endomorphism Rings S-S.Bae