과제정보
We would like to thank the referee for several valuable suggestions.
참고문헌
- D.D. Anderson, Some remarks on the ring R(X), Comment. Math. Univ. St. Paul. 26 (1977), 137-140.
-
D.D. Anderson, D.F. Anderson, and R. Markanda, The rings R(X) and R
, J. Algebra 95 (1985), 96-115. https://doi.org/10.1016/0021-8693(85)90096-1 - D.D. Anderson and T. Dumitrescu, S-Noetherian rings, Comm. Algebra 30 (2002), 4407-4416. https://doi.org/10.1081/AGB-120013328
- J.T. Arnold, On the ideal theory of the Kronecker function ring and the domain D(X), Canadian J. Math. 21 (1969), 558-563. https://doi.org/10.4153/CJM-1969-063-4
- J. Baeck, G. Lee, and J.W. Lim, S-Noetherian rings and their extensions, Taiwanese J. Math. 20 (2016), 1231-1250. https://doi.org/10.11650/tjm.20.2016.7436
- D.K. Kim and J.W. Lim, The Cohen type theorem and the Eakin-Nagata type theorem for S-Noetherian rings revisited, Rocky Mountain J. Math. 50 (2020), 619-630. https://doi.org/10.1216/rmj.2020.50.619
- H. Kim and J.W. Lim, S-*w-principal ideal domains, Algebra Colloq. 25 (2018), 217-224. https://doi.org/10.1142/S1005386718000159
- T.Y. Lam, Serre's Conjecture, Lect. Notes in Math. 635, Springer-Verlag, Berlin, New York, Heidelberg, 1978.
-
L.R. Le Riche, The ring R
, J. Algebra 67 (1980), 327-341. https://doi.org/10.1016/0021-8693(80)90164-7 - J.W. Lim, A note on S-Noetherian domains, Kyungpook Math. J. 55 (2015), 507-514. https://doi.org/10.5666/KMJ.2015.55.3.507
- J.W. Lim and D.Y. Oh, S-Noetherian properties on amalgamated algebras along an ideal, J. Pure Appl. Algebra 218 (2014), 1075-1080. https://doi.org/10.1016/j.jpaa.2013.11.003
- J.W. Lim and D.Y. Oh, S-Noetherian properties of composite ring extensions, Comm. Algebra 43 (2015), 2820-2829. https://doi.org/10.1080/00927872.2014.904329
- J.W. Lim and D.Y. Oh, Chain conditions on composite Hurwitz series rings, Open Math. 15 (2017), 1161-1170. https://doi.org/10.1515/math-2017-0097