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Communications in Algebra Volume 44, 2016 - Issue 9
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Original Articles

w-Linked Q0-Overrings and Q0-Prüfer v-Multiplication Rings

Lei QiaoCollege of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, ChinaCorrespondence[email protected]
&
Fanggui WangCollege of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, China
Pages 4026-4040 | Received 30 Dec 2014, Published online: 19 May 2016

REFERENCES

  • Anderson, D. D., Anderson, D. F., Markanda, R. (1985). The rings R(X) and R ⟨X⟩. J. Algebra 95:96–115.
  • Chang, G. W., Kim, H., Lim, J. W. (2013). Integral domains in which every nonzero t-locally principal ideal is t-invertible. Comm. Algebra 41:3805–3819.
  • Davis, E. D. (1964). Overrings of commutative rings. II. Integrally closed overrings. Trans. Amer. Math. Soc. 110:196–212.
  • Dobbs, D. E. (1980). On INC-extensions and polynomials with unit content. Canad. Math. Bull. 23:37–42.
  • Dobbs, D. E., Houston, E. G., Lucas, T. G., Zafrullah, M. (1989). t-linked overrings and Prüfer v-multiplication domains. Comm. Algebra 17:2835–2852.
  • Gilmer, R., Hoffmann, J. F. (1975). A characterization of Prüfer domains in terms of polynomials. Pacific J. Math. 60:81–85.
  • Glaz, S., Vasconcelos, W. V. (1977). Flat ideals II. Manuscripta Math. 22:325–341.
  • Gilmer, R. (1972). Multiplicative Ideal Theory. New York: Marcel Dekker.
  • Griffin, M. (1969). Prüfer rings with zero divisors. J. Reine Angew. Math. 239/240: 55–67.
  • Huckaba, J. A. (1988). Commutative Rings with Zero Divisors. New York: Marcel Dekker.
  • Hedstrom, J. R., Houston, E. G. (1980). Some remarks on star-operations. J. Pure Appl. Algebra 18:37–44.
  • Kaplansky, I. (1974). Commutative Rings. Revised Edition. Chicago: Univ. Chicago Press.
  • Kwak, D. J., Park, Y. S. (1995). On t-flat overrings. Chinese J. Math. 23:17–24.
  • Kim, H., Wang, F. (2014). On LCM-stable modules. J. Algebra Appl. 13:1350133, 18 pp.
  • Lucas, T. G. (2005). Krull rings, Prüfer v-multiplication rings and the ring of finite fractions. Rocky Mountain J. Math. 35:1251–1325.
  • Lucas, T. G. (1993). Strong Prüfer rings and the ring of finite fractions. J. Pure Appl. Algebra 84:59–71.
  • Lucas, T. G. (1994). The ring of finite fractions. Commutative Ring Theory. (Fès, 1992). Lecture notes in Pure and Applied Mathematics, Vol. 153. New York: Marcel Dekker, pp. 181–191.
  • Manis, M. (1969). Valuations on a commutative ring. Proc. Amer. Math. Soc. 20: 193–198.
  • Papick, I. J. (1983). Super-primitive elements. Pacific J. Math. 105:217–226.
  • Richman, F. (1965). Generalized quotient rings. Proc. Amer. Math. Soc. 16:794–799.
  • Wang, F. (1997). On w-projective modules and w-flat modules. Algebra Colloq. 4: 111–120.
  • Wang, F. (2004). On induced operations and UMT-domains. J. Sichuan Normal Univ. 27:1–9.
  • Wang, F., Kim, H. (2015). Two generalizations of projective modules and their applications. J. Pure Appl. Algebra 219:2099–2123.
  • Wang, F., Qiao, L. The w-weak global dimension of commutative rings. Bull. Korean Math. Soc. To appear.
  • Wang, F. (2001). w-dimension of domains. II. Comm. Algebra 29:2419–2428.
  • Wang, F., Kim, H. (2014). w-injective modules and w-semi-hereditary rings. J. Korean Math. Soc. 51:509–525.
  • Xie, L., Wang, F., Tian, Y. (2011). On w-linked overrings. J. Math. Res. Exposition 31:337–346.
  • Xing, S., Wang, F. On w-flat overrings. Submitted for Publication.
  • Yin, H., Wang, F., Zhu, X., Chen, Y. (2011). w-modules over commutative rings. J. Korean Math. Soc. 48:207–222.
  • Yin, H., Chen, Y. (2012). w-overring of w-Neotherian rings. Studia Sci. Math. Hungar. 49:200–205.
  • Zhao, S., Wang, F., Chen, H. (2012). Flat modules over a commutative ring are w-modules (in Chinese). J. Sichuan Normal Univ. 35:364–366.

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