References
- D. D. Anderson, Global transforms and Noetherian pairs, Hiroshima Math. J. 10 (1980), no. 1, 69-74.
- D. D. Anderson and S. J. Cook, Two star-operations and their induced lattices, Comm. Algebra 28 (2000), no. 5, 2461-2475. https://doi.org/10.1080/00927870008826970
-
G. W. Chang, Strong Mori domains and the ring
$D[X]_{N_v}$ , J. Pure Appl. Algebra 197 (2005), no. 1-3, 293-304. https://doi.org/10.1016/j.jpaa.2004.08.036 -
G. W. Chang, *-Noetherian domains and the ring
$D[X]_{N_*}$ , J. Algebra 297 (2006), no. 1, 216-233. https://doi.org/10.1016/j.jalgebra.2005.08.020 - G. W. Chang, Prufer *-multiplication domains, Nagata rings, and Kronecker function rings, J. Algebra 319 (2008), no. 1, 309-319. https://doi.org/10.1016/j.jalgebra.2007.10.010
-
G. W. Chang, Locally pseudo-valuation domains of the form
$D[X]_{N_v}$ , J. Korean Math. Soc. 45 (2008), no. 5, 1405-1416. https://doi.org/10.4134/JKMS.2008.45.5.1405 - G. W. Chang and M. Fontana, Uppers to zero and semistar operations in polynomial rings, J. Algebra 318 (2007), no. 1, 484-493. https://doi.org/10.1016/j.jalgebra.2007.06.010
- G. W. Chang and M. Zafrullah, The w-integral closure of integral domains, J. Algebra 295 (2006), no. 1, 195-210. https://doi.org/10.1016/j.jalgebra.2005.04.025
- D. Dobbs, E. Houston, T. Lucas, and M. Zafrullah, t-linked overrings and Prufer v-multiplication domains, Comm. Algebra 17 (1989), no. 11, 2835-2852. https://doi.org/10.1080/00927878908823879
- R. Gilmer, Multiplicative Ideal Theory, Dekker, New York, 1972.
- E. Houston, S. Malik, and J. Mott, Characterizations of *-multiplication domains, Canad. Math. Bull. 27 (1984), no. 1, 48-52. https://doi.org/10.4153/CMB-1984-007-2
-
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 - I. Kaplansky, Commutative rings, Revised Ed., Univ. of Chicago, Chicago, 1974.
- J. R. Matijevic, Maximal ideal transforms of Noetherian rings, Proc. Amer. Math. Soc. 54 (1976), 49-52. https://doi.org/10.1090/S0002-9939-1976-0387269-3
- R. Matsuda, On a question posed by Huckaba-Papick, Proc. Japan Acad. Ser. A Math. Sci. 59 (1983), no. 1, 21-23. https://doi.org/10.3792/pjaa.59.21
- M. H. Park, Group rings and semigroup rings over strong Mori domains, J. Pure Appl. Algebra 163 (2001), no. 3, 301-318. https://doi.org/10.1016/S0022-4049(00)00160-2
- M. H. Park, On overrings of strong Mori domains, J. Pure Appl. Algebra 172 (2002), no. 1, 79-85. https://doi.org/10.1016/S0022-4049(01)00135-9
- A. R. Wadsworth, Pairs of domains where all intermediate domains are Noetherian, Trans. Amer. Math. Soc. 195 (1974), 201-211. https://doi.org/10.1090/S0002-9947-1974-0349665-2
- F. Wang and R. L. McCasland, On strong Mori domains, J. Pure Appl. Algebra 135 (1999), no. 2, 155-165. https://doi.org/10.1016/S0022-4049(97)00150-3
- M. Zafrullah, The v-operation and intersections of quotient rings of integral domains, Comm. Algebra 13 (1985), no. 8, 1699-1712. https://doi.org/10.1080/00927878508823247