과제정보
연구 과제 주관 기관 : University of Incheon, NRF
참고문헌
- T. Akiba, LCM-stableness, Q-stableness and flatness, Kobe J. Math. 2 (1985), no. 1, 67-70.
- 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
- D. D. Anderson, E. G. Houston, and M. Zafrullah, t-linked extensions, the t-class group, and Nagata's theorem, J. Pure Appl. Algebra 86 (1993), no. 2, 109-124. https://doi.org/10.1016/0022-4049(93)90097-D
- D. F. Anderson and G. W. Chang, Overrings as intersections of localizations of an integral domain, preprint.
-
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 - J. T. Condo, LCM-stability of power series extensions characterizes Dedekind domains, Proc. Amer. Math. Soc. 123 (1995), no. 8, 2333-2341.
- D. E. Dobbs, On the criteria of D. D. Anderson for invertible and flat ideals, Canad. Math. Bull. 29 (1986), no. 1, 25-32. https://doi.org/10.4153/CMB-1986-004-4
- D. E. Dobbs, E. G. Houston, T. G. 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, An embedding theorem for HCF-rings, Proc. Cambridge Philos. Soc. 68 (1970), 583-587. https://doi.org/10.1017/S0305004100076568
- R. Gilmer, Finite element factorization in group rings, Ring theory, 47-61, Lecture Notes in Pure and Appl. Math., Vol. 7, Dekker, New York, 1974.
- R. Gilmer, Multiplicative Ideal Theory, Queen's Papers in Pure Appl. Math. 90, Queen's University, Kingston, Ontario, 1992.
- J. R. Hedstrom and E. G. Houston, Some remarks on star-operations, J. Pure Appl. Algebra 18 (1980), no. 1, 37-44. https://doi.org/10.1016/0022-4049(80)90114-0
- E. G. Houston and M. Zafrullah, On t-invertibility. II, Comm. Algebra 17 (1989), no. 8, 1955-1969. https://doi.org/10.1080/00927878908823829
- B. G. Kang, *-operations on integral domains, Ph.D. Dissertation, Univ. Iowa 1987.
-
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 - D. J. Kwak and Y. S. Park, On t-flat overrings, Chinese J. Math. 23 (1995), no. 1, 17-24.
- A. Mimouni, Integral domains in which each ideal is a w-ideal, Comm. Algebra 33 (2005), no. 5, 1345-1355. https://doi.org/10.1081/AGB-200058369
- S. Oda and K. Yoshida, Remarks on LCM-stableness and reflexiveness, Math. J. Toyama Univ. 17 (1994), 93-114.
- J. Sato and K. Yoshida, The LCM-stability on polynomial extensions, Math. Rep. Toyama Univ. 10 (1987), 75-84.
- H. Uda, LCM-stableness in ring extensions, Hiroshima Math. J. 13 (1983), no. 2, 357-377.
-
H. Uda ,
$G_2$ -stableness and LCM-stableness, HiroshimaMath. J. 18 (1988), no. 1, 47-52. - F. Wang and R. L. McCasland, On w-modules over strong Mori domains, Comm. Algebra 25 (1997), no. 4, 1285-1306. https://doi.org/10.1080/00927879708825920
- H. Yin, F. Wang, X. Zhu, and Y. Chen, w-modules over commutative rings, J. Korean Math. Soc. 48 (2011), no. 1, 207-222. https://doi.org/10.4134/JKMS.2011.48.1.207
- M. Zafrullah, Putting t-invertibility to use, Non-Noetherian commutative ring theory, 429-457, Math. Appl., 520, Kluwer Acad. Publ., Dordrecht, 2000.
피인용 문헌
- ON LCM-STABLE MODULES vol.13, pp.04, 2014, https://doi.org/10.1142/S0219498813501338