Completely integrally closed modules and rings. III
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  • 作者:A. A. Tuganbaev (1) tuganbaev@gmail.com
  • 刊名:Journal of Mathematical Sciences
  • 出版年:2012
  • 出版时间:June 2012
  • 年:2012
  • 卷:183
  • 期:3
  • 页码:413-423
  • 全文大小:166.8 KB
  • 参考文献:1. H. H. Brungs and G. T枚rner, “Chain rings and prime ideals,” Arch. Math., 27, 253–260 (1976).
    2. C. Faith, Algebra, Vol. I, Springer, Berlin (1976).
    3. V. K. Goel and S. K. Jain, “π-injective modules and rings whose cyclics are π-injective,” Commun. Algebra, 6, No. 1, 59–73 (1978).
    4. L. Jeremy, “Modules et anneaux quasi-continus,” Can. Math. Bull., 17, No. 2, 217–228 (1974).
    5. A. Koehler, “Rings with quasi-injective cyclic modules,” Quart. J. Math. Oxford Ser. 2, 25, 51–55 (1974).
    6. B. L. Osofsky, “Rings all of whose finitely generated modules are injective,” Pacific J. Math., 14, 645–650 (1964).
    7. B. L. Osofsky and P. F. Smith, “Cyclic modules whose quotients have all complement submodules direct summands,” J. Algebra, 139, 342–354 (1991).
    8. A. A. Tuganbaev, “Completely integrally closed modules and rings,” J. Math. Sci., 171, No. 2, 296–306 (2009).
    9. A. A. Tuganbaev, “Completely integrally closed modules and rings. II” J. Math. Sci., 177, No. 6, 937–941 (2011).
  • 作者单位:1. Russian State University of Trade and Economics, Moscow, Russia
  • 刊物类别:Mathematics and Statistics
  • 刊物主题:Mathematics
    Mathematics
    Russian Library of Science
  • 出版者:Springer New York
  • ISSN:1573-8795
文摘
We study rings A over which all cyclic right modules are completely integrally closed. The complete answer is obtained if either A is a semiperfect ring or each ring direct factor of A that is a domain is right bounded.

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