Voir la notice de l'article provenant de la source Cambridge University Press
Kim, Hwankoo. Examples of Half-Factorial Domains. Canadian mathematical bulletin, Tome 43 (2000) no. 3, pp. 362-367. doi: 10.4153/CMB-2000-043-7
@article{10_4153_CMB_2000_043_7,
author = {Kim, Hwankoo},
title = {Examples of {Half-Factorial} {Domains}},
journal = {Canadian mathematical bulletin},
pages = {362--367},
year = {2000},
volume = {43},
number = {3},
doi = {10.4153/CMB-2000-043-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-043-7/}
}
[1] [1] Anderson, D. D. and Anderson, D. F., Elasticity of factorizations in integral domains. J. Pure Appl. Algebra 80 (1992), 217–235. Google Scholar
[2] [2] Anderson, D. D. and Anderson, D. F., Elasticity of factorizations in integral domains, II. Houston J. Math. (1) 20 (1994), 1–15. Google Scholar
[3] [3] Anderson, D. D., Anderson, D. F., Chapman, S. T. and Smith, W. W., Rational elasticity of factorizations in Krull domains. Proc. Amer. Math. Soc. (1) 117 (1993), 37–43. Google Scholar
[4] [4] Anderson, D. D., Anderson, D. F. and Zafrullah, M., Factorization in integral domains. J. Pure Appl. Algebra 69 (1990), 1–19. Google Scholar
[5] [5] Anderson, D. D., Anderson, D. F. and Zafrullah, M., Rings between D[X] and K[X]. Houston Math. J. 17 (1991), 109–129. Google Scholar
[6] [6] Anderson, D. D., Anderson, D. F. and Zafrullah, M., Splitting the t-class group. J. Pure Appl. Algebra 74 (1991), 17–37. Google Scholar
[7] [7] Anderson, D. D., Anderson, D. F. and Zafrullah, M., Factorization in integral domains, II. J. Algebra 152 (1992), 78–93. Google Scholar
[8] [8] Anderson, D. F., Elasticity of factorizations in integral domains, a survey. Lecture Notes in Pure and Appl. Math. 189, Dekker, New York, 1997, 1–29. Google Scholar
[9] [9] Anderson, D. F., Chapman, S. T. and Smith, W. W., Some factorization properties of Krull domains with infinite cyclic divisor class group. J. Pure Appl. Algebra 96 (1994), 97–112. Google Scholar
[10] [10] Anderson, D. F. and El Abidine, D. Nour, Factorization in integral domains, III. J. Pure Appl. Algebra, to appear. Google Scholar
[11] [11] Anderson, D. F., Park, J., Kim, G. and Oh, H., Splitting multiplicative sets and elasticity. Comm. Algebra 26 (1998), 1257–1276. Google Scholar
[12] [12] Barucci, V., Izelgue, L. and Kabbaj, S., Some factorization properties of A + XB[X] domains. Lecture Notes in Pure and Appl. Math. 185, Dekker, New York, 1997, 69–78. Google Scholar
[13] [13] Cohn, P. M., Bézout rings and their subrings. Math. Proc. Cambridge Philos. Soc. 64 (1968), 251–264. Google Scholar
[14] [14] Coykendall, J., A characterization of polynomial rings with the half-factorial property. Lecture Notes in Pure and Appl. Math. 189, Dekker, New York, 1997, 291–294. Google Scholar
[15] [15] Gilmer, R., Multiplicative Ideal Theory. Dekker, New York, 1972. Google Scholar
[16] [16] Gonzalez, N., Elasticity of A + XB[X] domains. J. Pure Appl. Algebra, to appear. Google Scholar
[17] [17] Grams, A., Atomic domains and the ascending chain condition for principal ideals. Math. Proc. Cambridge Philos. Soc. 75 (1974), 321–329. Google Scholar
[18] [18] Matsumura, H., Commutative ring theory. Cambridge Stud. Adv. Math. 8, 1990. Google Scholar
[19] [19] Steffan, J. L., Longueurs des décompositions en produits d’éléments irréductibles dans un anneau de Dedekind. J. Algebra 102 (1986), 229–236. Google Scholar
[20] [20] Valenza, R. J., Elasticity of factorizations in number fields. J. Number Theory 36 (1990), 212–218. Google Scholar
[21] [21] Zaks, A., Half-factorial domains. Bull. Amer.Math. Soc. 82 (1976), 721–724. Google Scholar
[22] [22] Zaks, A., Half-factorial domains. Israel J. Math. 37 (1980), 281–302. Google Scholar
Cité par Sources :