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SEMI-PRIMENESS OF THE ENDOMORPHISM RING OF A PROJECTIVE MODULE

  • 발행 : 2003.10.01

초록

Semi-meet-prime projective modules and fully invariant meet-prime submodules of a projective module are studied. Actually a generalization of the Schur's lemma and semi-prime endmorphism rings of projective modules are considered.

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참고문헌

  1. Rings and Categories of modules(2nd ed.) F.W.Anderson;K.R.Fuller
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  3. Pusan Kyong-nam Mathematical Journal v.5 On Ideals of Endomorphism Ring of Projective Module S.S.Bae
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  5. Journal of Graduate School, Kyungnam University v.16 no.2 Generalized Schur's Lemmas S.S.Bae
  6. Noncommutative Rings I.N.Herstein
  7. Lectures on Rings and Modules(2nd ed.) Joachim Lambek
  8. An introduction to Homological Algebra Joseph J. Rotman
  9. Trans. Amer. Math. Soc. v.55 Endomorphism Rings of Projective Modules Roger Ware