Korean Journal of Mathematics

  • 제20권3호
  • /
  • Pages.315-321
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  • 2012
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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SOME PROPERTIES OF GR-MULTIPLICATION MODULES

  • 투고 : 2012.07.22
  • 심사 : 2012.09.05
  • 발행 : 2012.09.30
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초록

In this paper, we provide the necessary and sufficient conditions for a faithful graded module to be a graded multiplication module and for a graded submodule of a faithful gr-multiplication to be gr-essential.

키워드

참고문헌

  1. M.M. Ali and D.J. Smith, Some remarks on multiplication and projective mod- ules, Comm. Algebra 32 (10) (2004), 3897-3909. https://doi.org/10.1081/AGB-200027780
  2. A. Barnard, Multiplication modules, J. Algebra 71 (1) (1981), 174-178. https://doi.org/10.1016/0021-8693(81)90112-5
  3. Z.A. El-Bast and P.F. Smith, Multiplication modules, Comm. Algebra 16(4) (1988), 755-779. https://doi.org/10.1080/00927878808823601
  4. J. Escoriza and B. Torrecillas, Multiplication objects in commutative Grothendieck categories, Comm. Algebra 26 (6) (1998), 1867-1883. https://doi.org/10.1080/00927879808826244
  5. S.C. Lee, S. Kim, and S. Chung, Ideals and submodules of multiplication modules, J. Korean Math. Soc. 42 (5) (2005), 933-948. https://doi.org/10.4134/JKMS.2005.42.5.933
  6. G.M. Low and P.F. Smith, Multiplication modules and ideals, Comm. Algebra 18 (12) (1990), 4353-4375.
  7. A.G. Naoum, Flat modules and multiplication modules, Period. Math. Hungar. 21 (4) (1990), 309-317. https://doi.org/10.1007/BF02352695
  8. Y.S. Park and C.W. Choi, Multiplication modules and characteristic submodules, Bull. Korean Math. Soc. 32 (2) (1995), 321-328.
  9. Unsal Tekir, A note on multiplication modules, Int. J. Pure Appl. Math. 27 (1) (2006), 107-111.
  10. A.A. Tuganbaev, Flat and multiplication modules, J. Math. Sci. (N. Y.) 128 (3) (2005), 2998-3004. https://doi.org/10.1007/s10958-005-0246-4