Acknowledgement
This research was supported by Changwon National University in 2019-2020.
References
- F.W. Anderson and K.R. Fuller, Rings and Categories of Modules, SpringerVerlag, New York, Berlin, 1992.
- C. Faith, Rings and Things and a Fine Array of Twentieth Century Associative Algebra, Amer. Math. Soc, Providence, 1999.
- J.L. Garcia Hernandez and J.L. Gomez Pardo, V-rings relative to Gabriel topologies, Comm. Algebra 13 (1985), 59-83. https://doi.org/10.1080/00927878508823148
- J.P. Jans, Co-Noetherian rings, J. London Math. Soc. 1 (1) (1969). 588-590. https://doi.org/10.1112/jlms/s2-1.1.588
- A.J. Pena, Una caracterizacion de los modulos Artinianos, Divulg. Mat. 1 (1) (1993), 17-24.
- P. Vamos, The dual of the notion of finitely generated, J. London Math. Soc. 43 (1968), 643-646. https://doi.org/10.1112/jlms/s1-43.1.643
- F.G. Wang and H. Kim, Foundations of Commutative Rings and Their Modules, Singapore, Springer, 2016.
- H. Yin, F.G. Wang, X. Zhu, and Y. Chen, w-Modules over commutative rings, J. Korean Math. Soc. 48 (2011), 207-222. https://doi.org/10.4134/JKMS.2011.48.1.207
- J. Zhang and F.G. Wang, The w-socles of w-modules, J. Sichuan Normal Univ. (Nat. Sci.) 36 (2013), 807-810. (in Chinese). https://doi.org/10.3969/j.issn.1001-8395.2013.06.001
- D.C. Zhou, H. Kim, and K. Hu, A Cohen-type theorem for wArtinian modules, J. Algebra Appl. 20 (2021), 2150106 (25 pages), DOI: 10.1142/S0219498821501061