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Original Articles

Weakly automorphism invariant modules and essential tightness

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Pages 3531-3541 | Received 24 May 2016, Published online: 12 Jan 2017

References

  • Alahmadi, A., Facchini, A., Tung, N. K. (2015). Automorphism-invariant modules. Rend. Sem. Mat. Univ. Padova 133:241–259.
  • Anderson, F. W., Fuller, K. R. (1974). Rings and Categories of Modules. Vol. 214. Berlin and New York: Springer-Verlag, pp. 121–148.
  • Asensio, P. A. G., Şahinkaya, S., Srivastava, A. K. (2016). New characterizations of pseudo-Frobenius rings and a generalization of the FGF- conjecture. Israel J. Math., to appear.
  • Asensio, P. A. G., Srivastava, A. K. (2013). Automorphism-invariant modules satisfy the exchange property. J. Algebra 388:101–106.
  • Asensio, P. A. G., Srivastava, A. K. (2014). Additive unit representations in endomorphism rings and an extension of a result of Dickson and Fuller, Ring theory and its applications. Contemp. Math., Am. Math. Soc. 609:117–121.
  • Asensio, P. A. G., Srivastava, A. K. (2015). Automorphism-invariant modules, Noncommutative rings and their applications. Contemp. Math., Am. Math. Soc. 634:19–30.
  • Asensio, P. A. G., Tutuncu, D. K., Srivastava, A. K. (2015). Modules invariant under automorphisms of their covers and envelopes. Israel J. Math. 206(1):457–482.
  • Er, N., Singh, S., Srivastava, A. K. (2013). Rings and modules which are stable under automorphisms of their injective hulls. J. Algebra 379:223–229.
  • Goland, J. S., López-Permouth, S. R. (1991). QI-filters and tight modules. Commun. Algebra 19:2217–2229.
  • Jain, S. K., López-Permouth, S. R. (1990). Rings whose cyclic are essentially embeddable in projective modules. J. Algebra 128:257–269.
  • Jain, S. K., López-Permouth, S. R. (1994). A survey on the theory of weakly-injective modules. In: Computational Algebra (Fairfax, VA, 1993). Lecture Notes in Pure and Appl. Math., Vol. 151. New York: Dekker, pp. 205–232.
  • Jain, S. K., López-Permouth, S. R., Singh, S. (1992). On a class of QI-rings. Glasgow Math. J. 34:75–81.
  • Johnson, R. E., Wong, F. T. (1961). Quasi-injective modules and irreducible rings. J. London Math. Soc. 36:260–268.
  • Koşan, M. T., Quynh, T. C. (2016). Nilpotent-invariant modules and rings. Commun. Algebra, to appear.
  • Koşan, M. T., Quynh, T. C., Srivastava, A. (2016). Rings with each right ideal automorphism-invariant. J. Pure Appl. Algebra 220(4):1525–1537.
  • Lee, T. K., Zhou, Y. (2013). Modules which are invariant under automorphisms of their injective hulls. J. Algebra Appl. 12(2):9.
  • López-Permouth, S. R. (1992). Rings characterized by their weakly injective modules. Glasgow Math. J. 34:349–353.
  • López-Permouth, S. R., Rizvi, S. T., Yousif, M. F. (1993). Some characterizations of semiprime Goldie rings. Glasgow Math. J. 35:357–365.
  • Quynh, T. C., Koşan, M. T. (2015). On automorphism-invariant modules. J. Algebra Appl. 14(5):1550074 (11 pages).
  • Saleh, M. (1999). A note on tightness. Glasgow Math. J. 41(1):43–44.
  • Zhou, Y. (1993). Strongly compressible modules and semiprime right Goldie rings. Commun. Algebra 21(2):687–698.

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