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Original Articles

Rings admitting nonzero homomorphisms between non-injective modules

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Pages 4052-4063 | Received 07 Aug 2017, Published online: 01 Mar 2018

References

  • Alizade, R., Büyükaşık, E., Er, N. (2014). Rings and modules characterized by opposites of injectivity. J. Algebra 409:182–198.
  • Anderson, D. W., Fuller, K. R. (1992). Rings and Categories of Modules. GTM, Vol. 13, 2nd ed. New York: Springer-Verlag.
  • Cozzens, J. H., Faith, C. (1975). Simple noetherian rings. In: Cambridge Tracts in Mathematics and Physics. Cambridge: Cambridge University Press.
  • Dung, N. V., Huynh, D. V., Smith, P. F., Wisbauer, R. (1994). Extending Modules. Pitman Research Notes in Mathematics Series, Vol. 313. New York: Longman Sci. and Tech.
  • Enochs, E. A. (1963). Torsion free covering modules. Proc. Am. Math. Soc. 14:884–889.
  • Facchini, A. (1998). Module Theory: Endomorphism Rings and Direct Sum Decompositions in Some Classes of Modules. Basel: Birkhäuser Verlag.
  • Faith, C. (1976). Algebra II: Ring Theory. Grundlehren Math. Wiss, Bd. 191. Berlin: Springer.
  • Goodearl, K. R. (1972). Singular Torsion and the Splitting Properties. Memoirs of the AMS, Vol. 124. Providence, RI: American Mathematical Society.
  • Goodearl, K. R., Warfield, R. B. (2004). An Introduction to Noncommutative Noetherian Rings. London Math. Soc. Student Texts, Vol. 61. 2nd ed. Cambridge, US: Cambridge University Press.
  • Osofsky, B., Smith, P. F. (1991). Cyclic modules whose quotients have all complement submodules direct summands. J. Algebra 139:342–354.
  • Trlifaj, J. (1996). Whitehead test modules. Trans. Am. Math. Soc. 348:1521–1554.

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