본문 바로가기
KERD
논문KCI 등재

On Divisorial Submodules

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

This paper is devoted to study the divisorial submodules. We get some equivalent conditions for a submodule to be a divisorial submodule. Also we get equivalent conditions for (N∩L)-¹ to be a ring, where N,L are submodules of a module M.

Abstract

This paper is devoted to study the divisorial submodules. We get some equivalent conditions for a submodule to be a divisorial submodule. Also we get equivalent conditions for (N∩L)-¹ to be a ring, where N,L are submodules of a module M.

참고문헌 (17)

  1. M. M. Ali, "Invertibility of multiplication modules", New Zealand J. Math, 35, pp.17~29 (2006)
  2. M. M. Ali, "Invertibility of multiplication modules", New Zealand J. Math, 39, pp.45~64 (2009)
  3. M. M. Ali, "Some remarks on generalized GCD domains", Comm. Algebra, 36, pp.142~164 (2008)
  4. M. M. Ali, "Invertibility of multiplication modules III", New Zealand J. Math, 39, pp.139~213 (2009)
  5. M. M. Ali, "Idempotent and nilpotent submodules of multiplication modules", Comm. Algebra, 36, pp.4620~4642 (2008)
  6. M. M. Ali, "The transform formula for submodules of multiplication modules", New Zealand J. Math, 41, pp.25~37 (2011)
  7. R. Ameri, "On the prime submodules of multiplication modules", Internat. J. Math. Math. Sci, 27, pp.1715~1724 (2003)
  8. A. Barnard, "Multiplication modules", J. Algebra, 71, pp.174~178 (1981)
  9. Z. A. El-Bast., "Multiplication modules", Comm. Algebra, 16, pp.755~799 (1998)
  10. E. Houston., "T. Lucas and A. Mimouni When is the dual of an ideal a ring?", J. Algebra, 225, pp.429~450 (2000)
  11. M. Fontana., "Prufer Domains" (1997), Marcel Dekker
  12. R. Gilmer, "Multiplicative ideal theory" (1972), Marcel Dekker
  13. M. D. Larsen., "Multiplication theory of ideal" (1971), Academic Press
  14. A. G. Naoum, "Flat modules and multiolication modules", Periodica. Math. Hungar, 21, pp.309~317 (1990)
  15. A. G. Naoum., "Dedekind modules", Comm. Algebra, 24, pp.225~230 (1996)
  16. P. F. Smith, "Multiplication modules", Comm. Algebra, 16, pp.755~799 (1988)
  17. P. F. Smith, "Some remarks on multiplication modules", Arch. der. Math, 50, pp.223~235 (1988)

관련 논문AI추천

이 간행물의 다른 논문 (21건)