Finite conductor rings

Proceedings of the American Mathematical Society

Volumn 129, Issue 10, 2001, Pages 2833-2843

  Glaz, Sarah ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Coherence; Finite conductor; G GCD rings; Quasi coherence

Indexed keywords

EID: 23044529645     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-00-05882-2     Document Type: Article

References (26)

1. [A] B. Alfonsi, Grade non-Noctherian, Comm. in Algebra 9 (1981), 811-840. MR 82j:13012
2. [AA] D. D. Andcrson and D. F. Andcrson, Generalized GCD domains, Comment. Math. Univ. St. Pauli 28 (1980), 215-221. MR 81j:13017
3. [BAD] V. Barucci, D. F. Anderson and D. Dobbs, Coherent Mori domains and the principal idéal theorem, Comm. in Algebra 15 (1987), 1119-115G. MR 88c:13015
4. [B] G. M. Bergman, Groups acting on hereditary rings, Proc. London Math. Soc. 23 (1971), 70-82. MR 45:293
5. [DP] D. Dobbs and I. Papick, When is D + M coherent"? Proc. AMS 56 (197C), 51-54. MR 53:13203
6. [GH] S. Gabclli and E. Houston, Cohercnt-like conditions in pullbacks, Mich. Math. J. 44 (1997), 99-123. MR 98d:13019
7. [G1] R. Gilmcr, Multiplicative ideal theory, Queens Papers in Pure and Appl. Math. 12, 1908. MR 37:5198
8. [G2] R. Gilmcr, A two dimensional non-Noetherian factorial ring, Proc. AMS 44 (1974), 25-30. MR 49:281
9. [GP] R. Gilmer and T. Parker, Divisibility properties in semigroup rings, Mich. Math. J. 21 (1974), 65-8G/MR 49:7381
10. [G3] S. Glaz, On the weak dimension of coherent group rings, Comm. in Algebra 15 (1987), 1841-1858. MR 88g:1C024
11. n] is faithfully flat, Comm. in Algebra 16 (1988), 1791-1811. MR 89e:13008
12. [G5] S. Glaz, Commutative coherent rings, Springer-Verlag Lecture Notes in Math. 1371, 1989. MR 90f:13001
13. [GG] S. Glaz, On the coherence and weak dimensions of the rings R(x) and R(x), Proc. AMS 106 (1989), 579-598. MR 89k:13018
14. [G7] S. Glaz, Fixed rings of coherent regular rings, Comm. in Algebra 20 (1992), 2635-2051. MR 93j:13007
15. [HL1] W. Heinzer and D. Lantz, The Laskcrian property in commutative rings, J. of Algebra 72 (1981), 101-114. MR 83h:13025
16. [HL2] W. Heinzer and D. Lantz, Commutative rings with ACC on n-generated ideals, J. of Algebra 80 (1983), 201-278. MR 84g:13030
17. [J] S. Jondrup, Groups acting on rings, J. London Math. Soc. 8 (1974), 483-480. MR 49:10679
18. [M] E. Matlis, The minimal spectrum of a reduced ring, 111. J. of Math. 27 (1983), 353-391. MR 84h:13010
19. [MZ] J. Mott and M. Zafrullah, On Prüfer v-multiplication domains, Manuscripta Math. 35 (1981), 1-26. MR 83d:13026
20. [N] K. Nagarajan, Groups acting on Noetherian rings, Nicuw Arch, voor Wisk. 16 (1968), 25-29. MR 37:5202
21. [Q1] Y. Quentcl, Sur la compacité du spectre minimal d'un anneau, Bull. Soc. Math. France 99 (1971), 265-272. MR 44:GG85
22. [Q2] Y. Quentcl, Erratum, Sur la compacité du spectre minimal d'un anneau, Bull. Soc. Math. France 100 (1972), 461. MR 47:8512
23. [Q3] J. Querre, Idéaux divisoriels d'un anneau de polynômes, J. of Algebra 64 (1980), 270-284. MR 83b:13007
24. [S] J.-P. Soublin, Un anneau coherent dont l'anneau de polynômes n'est pas cohérent, C. R. Acad. Se. Paris, Ser. A 267 (1968), A241-A243. MR 38:1123
25. [V1] W. V. Vasconcelos, Divisor theory in module categories, North-Holland Math. Studies 14, 1974. MR 58:16637
26. [V2] W. Vasconcelos, The rings of dimension two, Lecture Notes in Pure and Appl. Math. 22, Marcel Dekker, 1976. MR 55:324