@article{PDML_1980__17_1_57_0, author = {Fontana, Marco}, title = {Carr\'es cart\'esiens et anneaux de pseudo-valuation}, journal = {Publications du D\'epartement de math\'ematiques (Lyon)}, volume = {17}, year = {1980}, pages = {57-95}, zbl = {0475.13008}, language = {fr}, url = {http://dml.mathdoc.fr/item/PDML_1980__17_1_57_0} }
Fontana, Marco. Carrés cartésiens et anneaux de pseudo-valuation. Publications du Département de mathématiques (Lyon), Tome 17 (1980) pp. 57-95. http://gdmltest.u-ga.fr/item/PDML_1980__17_1_57_0/
[1] A note on AV-domains. Bull. Kyoto Ed. Ser. B 31 (1967) , 1-3. | MR 218339 | Zbl 0265.13015
,[2] Introduction to commutative algebra. Addison-Wesley, New York 1969. | MR 242802 | Zbl 0175.03601
- ,[3] Pair of rings with the same prime ideals. Can. J. Math. (A paraître). | MR 571931 | Zbl 0406.13001
- ,[4] When are D + M rings Laskerian? (A paraître). | Zbl 0492.13002
- ,[5] Overrings and divisoria ! ideals of rings of the form D+M. Michigan Math. J. 20 (1974), 79-95. | MR 323782 | Zbl 0239.13001
- ,[6] Algebre commutative. Ch. 1-7. Hermann, Paris 1961/1965.
,[7] Integral domains whose overrings are ideal transforms. Math. Nach. 51 (1971), 255-267. | MR 309925 | Zbl 0203.34602
- ,[8] Divided rings and going-down. Pac. J. Math. 67 (1976), 353-363. | MR 424795 | Zbl 0326.13002
,[9] On the weak global dimension of pseudo-valuation domains. Can. Math. Bull. 21 (1978) , 159-164. | MR 485832 | Zbl 0383.13001
,[10] Coherence, ascent of going-down and pseudo-valuation domains. Houston J. Math. 4 (1978), 551-567. | MR 523613 | Zbl 0388.13002
,[11] On the flat spectral topology and certain distinguished spectral sets. (A paraître). | Zbl 0483.14001
- - ,[12] When is D+M coherent ? Proc. AMS 65 (1977), 370-371. | MR 441948 | Zbl 0369.13004
- ,[13] Topologically defined classes of commutative rings. Ann. Mat. Pura Appl. 123 (1980), 331-355. | MR 581935 | Zbl 0443.13001
,[14] Carrés cartésiens, anneaux divisés et anneaux localement divisés. Pre-Publ. Math. Univ. Paris-Nord (A paraître).
,[15] Sur les anneaux de Goldman. Boll. Un. Mat. Ital. 13-B (1976), 743-759. | MR 463154 | Zbl 0351.13002
- ,[16] A class of domains in which primary ideals are valuation ideals. Math. Ann. 161 (1965), 247-254. | MR 186689 | Zbl 0135.08001
,[17] A class of domains in which primary ideals are valuation ideals, II. Math. Ann. 171 (1967), 93-96. | MR 215821 | Zbl 0146.26301
,[18] Multiplicative ideal theory. Queen's Math. Papers, Kingston 1968. Rev. Ed. Dekker, New York 1972. | MR 427289 | Zbl 0804.13001
,[19] Intersections of quotient rings of an integral domain. J. Math. Kyoto Univ. 7 (1967), 133-150. | MR 223349 | Zbl 0166.30601
- ,[20] Primary ideals and valuation ideals, II. Trans. AMS 131 (1968), 149-162. | MR 220715 | Zbl 0169.36401
- ,[21] -rings. J. Algebra 28 (1974), 414-432. | MR 427308 | Zbl 0278.13003
- ,[22] Integral domains with quotient overrings. Math. Ann. 153 (1964), 97-103. | MR 159835 | Zbl 0128.26004
- ,[23] Global dimension in cartesian squares. J. Algebra 32 (1974), 31-43. | MR 364233 | Zbl 0292.13004
,[24] Pseudo-valuation domains. J. Math. 75 (1978), 137-147. | MR 485811 | Zbl 0368.13002
- ,[25] Pseudo-valuation domains, II. Houston J. Math. 4 (1978), 199-207. | MR 485812 | Zbl 0416.13014
- ,[26] Quotient overrings of an integral domain. Mathematika 17 (1970), 139-148. | MR 265334 | Zbl 0201.37202
,[27] Commutative rings. Allyn-Bacon, Boston 1970. Rev. Ed. Univ. Chicago Press 1974. | MR 345945 | Zbl 0296.13001
,[28] Some remarks on S-domains. J. Math. Kyoto Univ. 6 (1966), 49-60. | MR 202751 | Zbl 0158.03905
,[29] Beiträge zur Arithmetik kommutativer Integritätsbereiche, II. Math. Z. 41 (1936), 665 - 679. | JFM 62.1105.01 | MR 1545646
,[30] Algèbre commutative : Langages géométrique et algébrique. Hermann, Paris 1977. | MR 460306 | Zbl 0907.13001
,[31] Two conductor theorems. J. Algebra 23 (1972) , 239-240. | MR 304371 | Zbl 0254.13009
,[32] Topological properties of some classes of G-domains. Boll. Un. Mat. Ital. 15-A (1978), | MR 521116 | Zbl 0396.13019
,[33] Local rings. Interscience, New York 1962. | MR 155856 | Zbl 0123.03402
,[34] Topologically defined classes of commutative rings. Trans. AMS 219 (1976), 1-37. | MR 401745 | Zbl 0345.13005
,[35] Finite type extensions and coherence. Pac. J. Math. 78 (1978), 161-172. | MR 513292 | Zbl 0363.13010
,[36] When coherent pairs are Noetherian pairs. Houston J. Math. (A paraître). | MR 567912 | Zbl 0413.13001
,[37] Sur les anneaux commutatifs dont tout idéal premier est de Goldman. C.R. Acad. Sc. Paris A 280 (1975), A 1719 - A 1721. | MR 469900 | Zbl 0328.13001
,[38] Overring properties of G-domains. Proc. AMS 58 (1976) , 59-66. | MR 407005 | Zbl 0323.13003
- ,[39] Sur une note de Nagata relative à un problème de Krull. Math. Z. 64 (1956), 159-168. | MR 76746 | Zbl 0067.26801
,[40] Generalized quotient rings. Proc. AMS 16 (1965), 794-799. | MR 181653 | Zbl 0145.27406
,[41] Prime ideals in GCD-domains. Can. J. Math. 26 (1974), 98-107. | MR 330133 | Zbl 0247.13009
,[42] Seminormality and Picard group Ann. Sc. Norm. Sup. Pisa 24 (1970), 585-595. | Numdam | MR 277542 | Zbl 0205.50501
,[43] Pairs of domains where all intermediate domains are Noetherian. Trans. AMS 195 (1974), 201-211. | MR 349665 | Zbl 0294.13010
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