대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제42권1호
  • /
  • Pages.87-92
  • /
  • 2005
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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INJECTIVE ENVELOPES OF SIMPLE MODULES OVER POLYNOMIAL RINGS

  • 발행 : 2005.02.01
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초록

Let A be a polynomial ring over a field and M a simple A-module. We generalize one result of Song about the description of the injective envelope $E_A$ (M) in terms of modules of generalized fractions.

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참고문헌

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  4. H. Matsumura, Commutative ring theory, Cambridge Univ. Press, 1986
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  6. R. Y. Sharp, Ramification indices and injective modules, J. London Math. Soc. 11 (1975), 267-275 https://doi.org/10.1112/jlms/s2-11.3.267
  7. R. Y. Sharp and H. Zakeri, Modules of generalized fractions, Matematika 29 (1982), 32-41 https://doi.org/10.1112/S0025579300012134
  8. Y. M. Song and D. S. Kim, Distinct denominator sums and injective envelopes, Commun. Korean Math. Soc. 8 (1993), 169-180
  9. Y. M. Song, Generalized fractions, Galois theory and injective envelopes of simple modules over polynomial rings, J. Korean Math. Soc. 32 (1995), 265-277