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$\tau$-injective submodules of indecomposable injective modules

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Abstract

Let $\tau$ be a hereditary torsion theory and let $p$ be a prime ideal of a commutative ring $R$. We study the existence of (minimal) $\tau$-injective submodules of the injective hull of $R/p$.

참고문헌 (17)

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  7. "\it On the structure of indecomposable injectivemodules}", pp.559~ (1974)
  8. "it Indecomposable injective modules and a theorem of Kaplansky", pp.5875~ (2002)
  9. "it On injective hulls of simple modules", pp.299~ (2000)
  10. "it Local bijective Gabriel correspondenceand relative fully boundedness in $\tau$-noetherian rings}", pp.3339~ (1999)
  11. "\it Explicit description of injective envelopes Generalizations of a result of Northcott}", pp.2703~ (1989)
  12. "it Direct sum decompositions of indecomposable injective modules", pp.33~ (1998)
  13. "\it Direct sum of $\tau$-injectivemodules}", pp.77~ (1980)
  14. "\it Injective modules over noetherian rings}", pp.511~ (1958)
  15. "\it Decomposition of $\sigma$-injectivemodules}", pp.601~ (1981)
  16. "\it Rings of quotients Die Grundlehren derMathematischen Wissenschaften}" (1975), Springer-Verlag
  17. "it Flat covers of modules} Lecture Notes in Mathematics" (1996), 1634. Springer-Verlag

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