ABELIAN CATEGORY OF COARTINIAN MODULES

Authors

  • Do Ngoc Yen Posts and Telecommunications Institute of Technology
  • Bui Thi Hong Cam Dong Nai University

DOI:

https://doi.org/10.51453/2354-1431/2023/1027

Abstract

In this paper, we show that the category of $I$-coartinian modules forms an Abelian subcategory of the category of all $R$-modules provided that $\mathrm{ara}(I) = 1.$

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References

[1] Cuong N. T., Nam T. T., On the co- localization, co-support and co-associated primes of local homology modules, Vietnam J. Math., 2001, 29, 359-368.

[2] Hartshorne R., Affine duality and cofiniteness, Invent. Math., 1970, 2, 145-164.

[3] Melkersson L., Modules cofinite with respect to an ideal, J. Algebra, 2005, 285, 649-668.

[4] Nam T. T., Co-support and Coartinian Mod- ules, Algebra Colloq., 2008, 15, 83-96.

[5] Northcott D. G., An Introduction to Homo- logical Algebra, Cambridge University Press, Cambridge, 1960.

[6] Rotman J. J., An Introduction to Homological Algebra, Academic Press, New York, 1979.

[7] Strooker J., Homological Questions in Local Algebra, Cambridge University Press, Cam- bridge, 1990.

[8] Yassemi S., Coassociated primes, Comm. Al- gebra, 1995, 23, 1473-1498.

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Published

2023-12-19

How to Cite

Do Ngoc, Y., & Bui Thi Hong, C. (2023). ABELIAN CATEGORY OF COARTINIAN MODULES. SCIENTIFIC JOURNAL OF TAN TRAO UNIVERSITY, 9(5). https://doi.org/10.51453/2354-1431/2023/1027

Issue

Vol. 9 No. 5 (2023): Scientific Education

Section

Natural Science and Technology

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