참고문헌
- M. T. Ahmed and T. Dumitrescu, SP-rings with zero-divisors, Comm. Algebra 45 (2017), no. 10, 4435-4443. https://doi.org/10.1080/00927872.2016.1267184
- T. Akiba, Remarks on generalized rings of quotients, Proc. Japan Acad. 40 (1964), 801-806. https://doi.org/10.3792/pja/1195522568
- D. D. Anderson, Nonfinitely generated ideals in valuation domains, Tamkang J. Math. 18 (1987), no. 2, 49-52.
-
D. Costa, J. L. Mott, and M. Zafrullah, The construction
$D+XD_s[X]$ , J. Algebra 53 (1978), no. 2, 423-439. https://doi.org/10.1016/0021-8693(78)90289-2 - M. Fontana, E. Houston, and T. Lucas, Factoring ideals in Prufer domains, J. Pure Appl. Algebra 211 (2007), no. 1, 1-13. https://doi.org/10.1016/j.jpaa.2006.12.011
- M. Fontana, E. Houston, and T. Lucas, Factoring Ideals in Integral domains, Lecture Notes of the Unione Matematica Italiana, 14, Springer, Heidelberg, 2013.
- M. Fontana, J. A. Huckaba, and I. J. Papick, Prufer domains, Monographs and Text-books in Pure and Applied Mathematics, 203, Marcel Dekker, Inc., New York, 1997.
- R. Gilmer, Multiplicative Ideal Theory, Marcel Dekker, Inc., New York, 1972.
- I. Kaplansky, Commutative Rings, revised edition, The University of Chicago Press, Chicago, IL, 1974.
- B. Olberding, Globalizing local properties of Prufer domains, J. Algebra 205 (1998), no. 2, 480-504. https://doi.org/10.1006/jabr.1997.7406
- B. Olberding, Factorization into prime and invertible ideals, J. London Math. Soc. (2) 62 (2000), no. 2, 336-344. https://doi.org/10.1112/S0024610700001319
- B. Olberding, Factorization into radical ideals, in Arithmetical properties of commutative rings and monoids, 363-377, Lect. Notes Pure Appl. Math., 241, Chapman & Hall/CRC, Boca Raton, FL, 2005.
- B. Olberding, Factorization into prime and invertible ideals. II, J. Lond. Math. Soc. (2) 80 (2009), no. 1, 155-170. https://doi.org/10.1112/jlms/jdp017
- F. Richman, Generalized quotient rings, Proc. Amer. Math. Soc. 16 (1965), 794-799. https://doi.org/10.1090/S0002-9939-1965-0181653-1
- N. H. Vaughan and R. W. Yeagy, Factoring ideals into semiprime ideals, Canad. J. Math. 30 (1978), no. 6, 1313-1318. https://doi.org/10.4153/CJM-1978-108-5
- R. W. Yeagy, Semiprime factorizations in unions of Dedekind domains, J. Reine Angew. Math. 310 (1979), 182-186.