A Note on -Prüfer Domains

Authors

  • Yudan Xiang
  • Dechuan Zhou
  • Kui Hu

DOI:

https://doi.org/10.54097/av6dvn85

Keywords:

S-Prüfer Domain, S-ideal, IF Ring, Tensor Product

Abstract

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References

[1] R. Muhammad, D. C. Zhou, K. Hu, and J. M. Tariq. Research on Properties of Dedekind and -Prüfer domains[D], Master's Thesis of Southwest University of Science and Technology, 2025.

[2] M. Fontana, J. Huckaba, and I. Papick. Prüfer Domains[M]. New York: Marcel Dekker Inc., 1997.

[3] H. S. Butts and W. Smith. Prüfer rings[J]. Math Z, 1967, 95(3): 196-211.

[4] L. Qiao and F.G. Wang. A Gorenstein analogue of a result of Bertin[J]. J. Pure Appl. Algebra, 2015, 219(6): 2211–2220.

[5] F. G. Wang and H. K. Kim. Foundations of Commutative Rings and Their Modules[M]. Singapore: Springer, 2016.

[6] D. D. Anderson and T. Dumitrescu. S-Noetherian rings[J]. Comm. Algebra, 2002, 30(9): 4407-4416.

[7] H. Kim, M. O. Kim, and J. W. Lim. On S-strong Mori domains[J]. J. Algebra, 2014, 416: 314-332.

[8] D. Bennis and M. El Hajoui. On S-coherence[J]. J. Korean Math. Soc., 2018, 55(6), 1499-1512.

[9] W. Qi and X. L. Zhang. Regular Noetherian Rings[J]. Journal of Chongqing Normal University (Natural Science Edition), 2023, 40(5): 113-117.

[10] Z. B. Lin. Homological Algebra[M]. Changchun: Northeast Normal University Press., 1991.

[11] J. M. Tariq, D. C. Zhou, K. Hu, and R. Muhammad. Some characterizations of generalized Noetherian rings induced by a multiplicatively closed set[J], to appear in J. Algebra Appl., DOI: 10.1142/S0219498827501088.

[12] R. R. Colby. Rings which have flat injective modules[J]. Journal of Algebra, 1975, 35, 239-252.

[13] E. Matlis. Commutative semi-coherent and semi-regular rings[J]. Journal of Algebra, 1985, 95(2): 343-372.

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Published

30-04-2026

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Articles

How to Cite

Xiang, Y., Zhou, D., & Hu, K. . (2026). A Note on -Prüfer Domains. Frontiers in Computing and Intelligent Systems, 16(2), 89-93. https://doi.org/10.54097/av6dvn85