대한수학회지 (Journal of the Korean Mathematical Society)

  • 제54권6호
  • /
  • Pages.1829-1839
  • /
  • 2017
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

ON COATOMIC MODULES AND LOCAL COHOMOLOGY MODULES WITH RESPECT TO A PAIR OF IDEALS

  • Tran, Tuan Nam (Department of Mathematics-Informatics Ho Chi Minh University of Pedagogy) ;
  • Nguyen, Minh Tri (Department of Natural Science Education Dong Nai University)
  • 투고 : 2016.11.08
  • 심사 : 2017.03.07
  • 발행 : 2017.11.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we show some results on the vanishing and the finiteness of local cohomology modules with respect to a pair of ideals. We also prove that Supp($H^{dim\;M-1}_{I,J}(M)/JH^{dim\;M-1}_{I,J}(M)$) is a finite set.

키워드

과제정보

연구 과제 주관 기관 : Vietnam National Foundation for Science and Technology Development (NAFOSTED)

참고문헌

  1. M. Aghapournahr and L. Melkersson, Finiteness properties of minimax and coatomic local cohomology modules, Arch. Math. 94 (2010), no. 6, 519-528. https://doi.org/10.1007/s00013-010-0127-z
  2. L. Chu, Top local cohomology modules with respect to a pair of ideals, Proc. Amer. Math. Soc. 139 (2011), no. 3, 777-782. https://doi.org/10.1090/S0002-9939-2010-10471-9
  3. L. Chu and Q. Wang, Some results on local cohomology modules defined by a pair of ideals, J. Math. Kyoto Univ. 49 (2009), no. 1, 193-200. https://doi.org/10.1215/kjm/1248983036
  4. T. T. Nam and N. M. Tri, Some results on local cohomology modules with respect to a pair of ideals, Taiwanese J. Math. 20 (2016), no. 4, 743-753. https://doi.org/10.11650/tjm.20.2016.5805
  5. M. L. Parsa and Sh. Payrovi, On the vanishing properties of local cohomology modules defined by a pair of ideals, Eur. J. Pure Appl. Math. 5 (2012), no. 1, 55-58.
  6. Sh. Payrovi and M. Lotfi Parsa, Finiteness of local cohomology modules defined by a pair of ideals, Comm. Algebra 41 (2013), no. 2, 627-637. https://doi.org/10.1080/00927872.2011.631206
  7. H. Saremi and A. Mafi, On the finiteness dimension of local cohomology modules, Algebra Colloq. 21 (2014), no. 3, 517-520. https://doi.org/10.1142/S1005386714000455
  8. R. Takahashi, Y. Yoshino, and T. Yoshizawa, Local cohomology based on a nonclosed support defined by a pair of ideals, J. Pure Appl. Algebra 213 (2009), no. 4, 582-600. https://doi.org/10.1016/j.jpaa.2008.09.008
  9. H. Zoschinger, Koatomare moduln, Math. Z. 170 (1980), no. 3, 221-232. https://doi.org/10.1007/BF01214862
  10. H. Zoschinger, Minimax moduln, J. Algebra 102 (1986), no. 1, 1-32. https://doi.org/10.1016/0021-8693(86)90125-0