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Original Articles

Rugged modules: The opposite of flatness

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Pages 764-779 | Received 19 Apr 2017, Published online: 16 Jun 2017

References

  • Alahmadi, A. N., Alkan, M., López-Permouth, S. R. (2010). Poor modules: The opposite of injectivity. Glasgow. Math. J. 52(A):7–17.
  • Alizade, R., Büyükaşık, E. (2017). Poor and pi-poor abelian groups. Commun. Algebra 45:420–427.
  • Alizade, R., Sipahi, D. D. (2017). Modules and abelian groups with minimal (pure-) projectivity domain. J. Algebra Appl. 16(2): Article number 1750203.
  • Anderson, F. W., Fuller, K. R. (1992). Rings and Categories of Modules. New-York: Springer-Verlag.
  • Aydoğdu, P., Saraç, B. (2013). On Artinian rings with restricted class of injectivity domains. J. Algebra 377:49–65.
  • Cheatham, T. J., Smith, J. R. (1976). Regular and semisimple modules. Pacific J. Math. 65(2):315–323.
  • Durg̃un, Y. (2016). An alternative perspective on flatness of modules. J. Algebra Appl. 15(8):1650145.
  • Enochs, E. E., Jenda, O. M. G. (2000). Relative Homological Algebra. Berlin: Walter de Gruyter.
  • Er, N., López-Permouth, S., Sökmez, N. (2011). Rings whose modules have maximal or minimal injectivity domains. J. Algebra 330:404–417.
  • Er, N., López-Permouth, S., Tung, N. K. (2016). Rings whose cyclic modules have restricted injectivity domains. J. Algebra 466:208–228.
  • Fieldhouse, D. J. (1967). Purity and Flatness. Ph.D. Thesis. McGill University, ProQuest LLC, Ann Arbor, MI, Canada.
  • Fieldhouse, D. J. (1972). Regular rings and modules. J. Austral. Math. Soc. 13:477–491.
  • Fuchs, L. (1970). Infinite Abelian Groups. Vol. I. Pure and Applied Mathematics, Vol. 36. New York-London: Academic Press.
  • Fuchs, L., Salce, L. (2001). Modules over Non-Noetherian Domains. Mathematical Surveys and Monographs, Vol. 84. Providence, RI: American Mathematical Society.
  • Goodearl, K. (1972). Singular Torsion and the Splitting Properties. Memoirs of American Mathematical Society, Vol. 124. American Mathematical Society.
  • Holston, C., López-Permouth, S., Ertaş, N. O. (2012). Rings whose modules have maximal or minimal projectivity domain. J. Pure Appl. Algebra 216:673–678.
  • Holston, C., López-Permouth, S., Mastromatteo, J., Simental, J. E. (2015). An alternative perspective on projectivity of modules. Glasg. Math. J. 57:83–99.
  • Lam, T. Y. (1999). Lectures on Modules and Rings. New York: Springer-Verlag.
  • López-Permouth, S., Simental, J. E. (2012). Characterizing rings in terms of the extent of the injectivity and projectivity of their modules. J. Algebra 362:56–69.
  • Mohamed, S. H., Müller, B. J. (1990). Continuous and Discrete Modules. London Mathematical Society Lecture Note Series. Vol. 147. Cambridge: Cambridge University Press.
  • Vasconcelos, W. V. (1969). On finitely generated flat modules. Trans. Am. Math. Soc. 138:505–512.
  • Ware, R. (1971). Endomorphism rings of projective modules. Trans. Am. Math. Soc. 155:233–256.

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