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Research Article

Straight domains are locally divided

Pages 3065-3069 | Received 26 Apr 2023, Accepted 24 Jan 2024, Published online: 14 Feb 2024

References

  • Akiba, T. (1967). A note on AV-domains. Bull. Kyoto Univ. Educ. Ser. B. 31:1–3.
  • Badawi, A. (1995). On domains which have prime ideals that are linearly ordered. Commun. Algebra 23(12):4365–4373. DOI: 10.1080/00927879508825469.
  • Badawi, A. (2002). Pseudo-valuation domains: a survey. In: Mathematics & Mathematics Education (Bethlehem, 2000). Hoboken, NJ: World Scientific, pp. 38–59.
  • Badawi, A. (2004). On divided rings and φ-pseudo-valuation rings. In: Trends in Commutative Rings Research. New York: Nova Science Publishers, p. 51.
  • Badawi, A. (2007). On pseudo-almost valuation domains. Commun. Algebra 35:1167–1181. DOI: 10.1080/00927870601141951.
  • Badawi, A., Houston, E. (2002). Powerful ideals, strongly primary ideals, almost pseudo-valuation domains, and conducive domains. Commun. Algebra 30(4):1591–1606. DOI: 10.1081/AGB-120013202.
  • Boisen, M. B., Sheldon, P. B. (1977). CPI-extensions: overrings of integral domains with special pime spectrums. Can. J. Math. 29(4):722–737. DOI: 10.4153/CJM-1977-076-6.
  • Cahen, P.-J., Fontana, M., Frisch, S., Glaz, S. (2014). Open problems in commutative ring theory. In: Commutative Algebra. New York: Springer, pp. 353–375.
  • Dobbs, D. (1976). Divided rings and going-down. Pac. J. Math. 67(2):353–363. DOI: 10.2140/pjm.1976.67.353.
  • Dobbs, D. (1981). On locally divided integral domains and CPI-overrings. Int. J. Math. Math. Sci. 4(1):119–135. DOI: 10.1155/S0161171281000082.
  • Dobbs, D. (2009). When is a pullback a locally divided domain. Houston J. Math. 35(2):341–351.
  • Dobbs, D., Picavet, G. (2009). Straight rings. Commun. Algebra 37(3):757–793. DOI: 10.1080/00927870802231288.
  • Dobbs, D., Picavet, G. (2009). Straight rings, II. In: Commutative Algebra and its Applications. New York: de Gruyter, pp. 183–205.
  • Dobbs, D., Picavet, G., Picavet-L’Hermitte, M. (2014). On a new class of integral domains with the portable property. In: Commutative Algebra. New York: Springer, pp. 119–132.
  • Gilmer, R. (1968). Multiplicative ideal theory. In: Queen’s papers in Pure and Applied Mathematics, 12. Kingston, ON: Queen’s University.
  • Kaplansky, I. (1972). Commutative Rings. Chicago, IL: The University of Chicago Press.

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