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Articles

Well-behaved prime t-ideals and almost Krull domains

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Pages 276-287 | Received 02 Feb 2022, Accepted 01 Jul 2022, Published online: 22 Jul 2022

References

  • Anderson, D. D. (1988). Star operations induced by overrings. Commun. Algebra 16(12):2535–2553. DOI: 10.1080/00927879808823702.
  • Anderson, D. D., Chang, G. W., Zafrullah, M. (2013). Integral domains of finite t-character. J. Algebra 396:169–183. DOI: 10.1016/j.jalgebra.2013.08.014.
  • Anderson, D. D., Cook, S. (2000). Two star operations and their induced lattices. Commun. Algebra 28(5):2461–2475. DOI: 10.1080/00927870008826970.
  • Anderson, D. D., Houston, E., Zafrullah, M. (2019). On the structure of ⋆-power conductor domains. Commun. Algebra 47:2711–2726.
  • Arnold, J., Matsuda, R. (1986). An almost Krull domain with divisorial height one primes. Can. Math. Bull. 29(1):50–53. DOI: 10.4153/CMB-1986-009-6.
  • Costa, D., Mott, J., Zafrullah, M. (1978). The construction D+XDS[X]. J. Algebra 53:423–429.
  • Eakin, P., Silver, J. (1972). Rings which are almost polynomial rings. Trans. Amer. Math. Soc. 174:425–449. DOI: 10.1090/S0002-9947-1972-0309924-4.
  • Baghdadi, S. E., Izelgue, L., Tamoussit, A. (2020). Almost Krull domains and their rings of integer-valued polynomials. J. Pure Appl. Algebra 224(6):106269. DOI: 10.1016/j.jpaa.2019.
  • de Souza Doering, A. M., Lequain, Y. (1982). Chains of prime ideals in polynomial rings. J. Algebra 78(1):163–180. DOI: 10.1016/0021-8693(82)90106-5.
  • Fontana, M., Gabelli, S. (1996). On the class group and the local class group of a pullback. J. Algebra 181(3):803–835. Ring Theory, Kluwer Academic, Dordrecht, 2000, pp. 199–227. DOI: 10.1006/jabr.1996.0147.
  • Gilmer, R. (1966). Overrings of Prüfer domains. J. Algebra 4(3):331–340. DOI: 10.1016/0021-8693(66)90025-1.
  • Gilmer, R. (1972). Multiplicative Ideal Theory. New York: Dekker.
  • Heinzer, W., Ohm, J. (1973). An essential domain which is not a v-multiplication ring. Can. J. Math. 25(4):856–861. DOI: 10.4153/CJM-1973-088-5.
  • Houston, E. (1994). Prime t-Ideals in R[X]. In Commutative Ring Theory, Lecture Notes Pure Appl. Math. 153. New York: Dekker, pp. 163–170.
  • Houston, E., Zafrullah, M. (1989). On t-invertibility II. Commun. Algebra 17(8):1955–1969. DOI: 10.1080/00927878908823829.
  • Jaffard, P. (1960). Les systems d’ideaux. Paris: Dunod.
  • Kang, B. G. (1989). On the converse of a well-known fact about Krull domains. J. Algebra 124(2):284–299. DOI: 10.1016/0021-8693(89)90131-2.
  • Malik, S., Mott, J., Zafrullah, M. (1988). On t-invertibility. Commun. Algebra 16(1):149–170. DOI: 10.1080/00927878808823566.
  • Pirtle, E. (1968). Integral domains which are almost Krull. J. Sci. Hiroshima Univ. Ser. A-I Math. 32:441–447.
  • Qiao, L., Wang, F. (2017). A half-centered star-operation on an integral domain. J. Korean Math. Soc. 54(1):35–57. DOI: 10.4134/JKMS.j150582.
  • Zafrullah, M. (1990). Well behaved prime t-ideals. J. Pure Appl. Algebra 65(2):199–207. DOI: 10.1016/0022-4049(90)90119-3.
  • Zafrullah, M. (2000). Putting t-invertibility to use. In Non-Noetherian commutative ring theory, Math. Appl. vol. 520, Dordrecht: Kluwer Acad. Pub., pp. 429–457.

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