과제정보
연구 과제 주관 기관 : National Research Foundation of Korea(NRF)
참고문헌
- D. D. Anderson and D. F. Anderson, Divisibility properties of graded domains, Canad. J. Math. 34 (1982), no. 1, 196-215. https://doi.org/10.4153/CJM-1982-013-3
- D. F. Anderson and G. W. Chang, Graded integral domains and Nagata rings, J. Algebra 387 (2013), 169-184. https://doi.org/10.1016/j.jalgebra.2013.04.021
- D. F. Anderson and G. W. Chang, Graded integral domains whose nonzero homogeneous ideals are invertible, Internat. J. Algebra Comput. 26 (2016), no. 7, 1361-1368. https://doi.org/10.1142/S0218196716500582
- D. F. Anderson, G. W. Chang, and M. Zafrullah, Graded Prufer domains, Comm. Algebra 46 (2018), no. 2, 792-809. https://doi.org/10.1080/00927872.2017.1327595
- S. Bazzoni and L. Salce, Warfield domains, J. Algebra 185 (1996), no. 3, 836-868. https://doi.org/10.1006/jabr.1996.0353
- R. Gilmer, Multiplicative Ideal Theory, Marcel Dekker, Inc., New York, 1972.
- W. Heinzer, Integral domains in which each non-zero ideal is divisorial, Mathematika 15 (1968), 164-170. https://doi.org/10.1112/S0025579300002527
-
B. G. Kang, Prufer v-multiplication domains and the ring
$R[X]_{N_v}$ , J. Algebra 123 (1989), no. 1, 151-170. https://doi.org/10.1016/0021-8693(89)90040-9 - M. Kreuzer and L. Robbiano, Computational Commutative Algebra. 2, Springer-Verlag, Berlin, 2005.
- E. Matlis, Cotorsion modules, Mem. Amer. Math. Soc. No. 49 (1964), 66 pp.
- E. Matlis, Reflexive domains, J. Algebra 8 (1968), 1-33. https://doi.org/10.1016/0021-8693(68)90031-8
- D. G. Northcott, Lessons on Rings, Modules and Multiplicities, Cambridge University Press, London, 1968.
- C. H. Park and M. H. Park, Integral closure of a graded Noetherian domain, J. Korean Math. Soc. 48 (2011), no. 3, 449-464. https://doi.org/10.4134/JKMS.2011.48.3.449
- M. H. Park, Integral closure of graded integral domains, Comm. Algebra 35 (2007), no. 12, 3965-3978. https://doi.org/10.1080/00927870701509511
- D. E. Rush, Noetherian properties in monoid rings, J. Pure Appl. Algebra 185 (2003), no. 1-3, 259-278. https://doi.org/10.1016/S0022-4049(03)00103-8
-
P. Sahandi, Characterizations of graded Prufer
$\star$ -multiplication domains, Korean J. Math. 22 (2014), 181-206. https://doi.org/10.11568/kjm.2014.22.1.181 -
P. Sahandi, Characterizations of graded Prufer
$\star$ -mulitiplication domains. II, Bull. Iranian Math. Soc. 44 (2018), no. 1, 61-78. https://doi.org/10.1007/s41980-018-0005-1 - M. Zafrullah, On finite conductor domains, Manuscripta Math. 24 (1978), no. 2, 191-204. https://doi.org/10.1007/BF01310053