Some properties of Generalized Ideal Co-transforms
DOI:
https://doi.org/10.51453/3093-3706/2025/1374Keywords:
Đối biến đổi iđêan, Môđun đồng điều địa phương, suy rộng, Môđun Artin, Đối ngẫuAbstract
We introduce the concept generalized ideal co-transform, which is extension from the ideal co-transforms. We also study about some properties of these modules and give the relationship between generalized ideal co-transform and generalized local homology module.
Downloads
References
[1] Brodmann M. P., Sharp R. Y. (1998), Local cohomology: an algebraic introduction with geometric applications, Cambridge University Press.
[2] K. Divaani-Aazar, R. Sazeedeh (2004), Cofiniteness of generalized local cohomology modules, Colloquium Mathematicum, vol. 99, No. 2, 283-290.
[3] R. Hartshorne (1977), Algebraic Geometry, Springer-Verlag, Berlin-Heidelberg-New York.
[4] C. U. Jen (1972), Les Foncteurs Dérivés de et leurs Applications en Théorie de Modules, Springer-Verlag, Berlin-Heidelberg-Newyork.
[5] Tran Tuan Nam (2012), Generalized Local Homology for Artinian Modules, Algebra Colloquium 19, 1205-1212.
[6] W. Mahmood (2019), On generalized completion homology modules, Math. Reports 21, 411-429.
[7] Nguyen Tu Cuong, Tran Tuan Nam (2001), The I-adic completion and local homology for Artinian modules, Math. Proc. Camb. Phil. Soc 131, 61-72.
[8] N. T. Cuong, T. T. Nam (2008), A local homology theory for linearly compact modules, J. Algebra. 319, 4712-4737.
[9] Tran Tuan Nam (2004), Ideal Co-transforms of linearly compact modules, East-West J. of Mathematics 6, 173-183.
[10] Tran Tuan Nam, Nguyen Minh Tri (2014), Genreralized ideal transforms, Stud. Sci. Math. Hung., 51, 67-82.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
All articles published in SJTTU are licensed under a Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA) license. This means anyone is free to copy, transform, or redistribute articles for any lawful purpose in any medium, provided they give appropriate attribution to the original author(s) and SJTTU, link to the license, indicate if changes were made, and redistribute any derivative work under the same license.
Copyright on articles is retained by the respective author(s), without restrictions. A non-exclusive license is granted to SJTTU to publish the article and identify itself as its original publisher, along with the commercial right to include the article in a hardcopy issue for sale to libraries and individuals.
Although the conditions of the CC BY-SA license don't apply to authors (as the copyright holder of your article, you have no restrictions on your rights), by submitting to SJTTU, authors recognize the rights of readers, and must grant any third party the right to use their article to the extent provided by the license.
