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Research Articles

Ascent and descent of Artinian module structures under flat base changes

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Pages 3512-3520 | Received 13 May 2023, Accepted 14 Feb 2024, Published online: 28 Feb 2024

References

  • Anderson, B. J., Sather-Wagstaff, S. (2014). NAK for Ext and ascent of module structures. Proc. Amer. Math. Soc. 142:1165–1174. DOI: 10.1090/S0002-9939-2014-11862-4.
  • Brodmann, M., Sharp, R. Y. (1998). Local Cohomology: An Algebraic Introduction with Geometric Applications. Cambridge: Cambridge University Press.
  • Cuong, N. T., Dung, N. T., Nhan, L. T. (2007). Top local cohomology and the catenaricity of the unmixed support of a finitely generated module. Commun. Algebra 35:1691–1701. DOI: 10.1080/00927870601169366.
  • Frankild, A. J., Sather-Wagstaff, S. (2008). Detecting completeness from Ext-vanishing. Proc. Amer. Math. Soc. 136:2303–2312.
  • Frankild, A. J., Sather-Wagstaff, S., Wiegand, R. (2008). Ascent of module structures, vanishing of Ext, and extended modules. Michigan Math. J. 57:321–337. DOI: 10.1307/mmj/1220879412.
  • Macdonald, I. G. (1973). Secondary representation of modules over a commutative ring. Symposia Math. 11:23–43.
  • Matsumura, H. (1986). Commutative Ring Theory. Cambridge: Cambridge University Press.
  • Melkersson, L. (1990). On asymptotic stability for sets of prime ideals connected with the powers of an ideal. Math. Proc. Camb. Phil. Soc. 107:267–271. DOI: 10.1017/S0305004100068535.
  • Melkersson, L., Schenzel, P. (1995). The co-localization of an Artinian module. Proc. Edinburgh Math. Soc. 38:121–131. DOI: 10.1017/S0013091500006258.
  • Nagata, M. (1953). On the theory of Henselian rings. Nagoya Math. J. 5:45–57. DOI: 10.1017/S0027763000015439.
  • Nhan, L. T., Quy, P. H. (2014). Attached primes of local cohomology modules under localization and completion. J. Algebra 420:475–485. DOI: 10.1016/j.jalgebra.2014.08.043.
  • Sather-Wagstaff, S. (2014). Ascent for pairs of modules. Arch. Math. 103:211–218. DOI: 10.1007/s00013-014-0688-3.
  • Zöschinger, H. (1988). Über koassoziierte primideale. Math. Scand. 63:196–211. DOI: 10.7146/math.scand.a-12233.

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