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t-Prüfer Modules

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In this article, we characterize t-Prufer modules in the class of faithful multiplication modules. As a corollary, we also characterize Krull modules. Several properties of a t-invertible submodule of a faithful multiplication module are given.

Abstract

In this article, we characterize t-Prufer modules in the class of faithful multiplication modules. As a corollary, we also characterize Krull modules. Several properties of a t-invertible submodule of a faithful multiplication module are given.

참고문헌 (20)

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  12. Z. A. El-Bast, "Multiplication modules", Comm. Algebra, 16, pp.755~739 (1988)
  13. V. Erdogdu, "Multiplication modules which are distributive", J. Pure Appl. Algebra, 54, pp.209~213 (1988)
  14. E. Houston, "Integral domains in which each t-ideal is divisorial", Mich. Math. J, 35, pp.291~300 (1988)
  15. B. G. Kang, "On the converse of a well-known fact about Krull domains", J. Algebra, 124, pp.284~299 (1989)
  16. H. Kim, "Krull modules", Algebra Colloq., 20, pp.464~474 (2013)
  17. S. Malik, "On t-invertibility", Comm. Algebra, 16, pp.149~170 (1988)
  18. J. L. Mott, "On Krull domains", Arch. Math., 56, pp.559~568 (1991)
  19. P. F. Smith, "Some remarks on multiplication modules", Arch. Math, 50, pp.223~235 (1988)
  20. M. Zafrullah, "Ascending chain condition and star operations", Comm. Algebra, 17, pp.1523~1533 (1989)

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