Document Zbl 0254.13012

Finiteness in projective ideals. (English) Zbl 0254.13012

J. Algebra 25, 269-278 (1973).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0254.13012

MSC:

13E99	Chain conditions, finiteness conditions in commutative ring theory
13C05	Structure, classification theorems for modules and ideals in commutative rings

Cite Review PDF

Full Text: DOI

References:

[1]	Bass, H., Finitistic dimension and a generalization of semiprimary rings, Trans. Amer. Math. Soc., 95, 466-488 (1960) · Zbl 0094.02201
[2]	G. BergmanJ. London Math. Soc.; G. BergmanJ. London Math. Soc. · Zbl 0199.35801
[3]	Cohen, J. M., A note on homological dimension, J. Algebra, 11, 483-487 (1969) · Zbl 0188.09201
[4]	Cohn, P. M., On the free product of associative rings, Math. Z., 71, 380-398 (1959) · Zbl 0087.26303
[5]	Faith, C., Lectures on Injective Modules (1967), Springer-Verlag: Springer-Verlag New York · Zbl 0162.05002
[6]	Gillman, L.; Jerison, M., Rings of Continuous Functions (1960), Van Nostrand: Van Nostrand Princeton, New Jersey · Zbl 0093.30001
[7]	Gruson, L.; Raynaud, M., Critères de platitude et de projectivité, Invent. Math., 13, 1-89 (1971) · Zbl 0227.14010
[8]	Jensen, C. U., Homological dimension of \(χ_0\)-coherent rings, Math. Scand., 20, 55-60 (1967) · Zbl 0147.28902
[9]	Jensen, C. U., Some remarks on a change of rings theorem, Math. Z., 106, 395-401 (1968) · Zbl 0172.05201
[10]	Kaplansky, I., Projective modules, Ann. of Math., 68, 372-377 (1958) · Zbl 0083.25802
[11]	Lazard, D., Disconnexités des spectres d’anneaux et des préschemas, Bull. Soc. Math. France, 95, 95-108 (1967) · Zbl 0158.03902
[12]	Marot, J., Anneaux héréditaires commutatifs, C. R. Acad. Sci. Paris, 269, 58-61 (1969) · Zbl 0176.00301
[13]	Vasconcelos, W. V., On finitely generated flat modules, Trans. Amer. Math. Soc., 138 (1969) · Zbl 0175.03603
[14]	Vasconelos, W. V., On projective modules of finite rank, (Proc. Amer. Math. Soc., 22 (1969)), 430-433 · Zbl 0176.31601
[15]	Vasconelos, W. V., Annihilators of modules with a finite free resolution, (Proc. Amer. Math. Soc., 29 (1971)), 440-442 · Zbl 0226.13004

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.