Book Review
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MathSciNet review:
1567084
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
Friedrich Kasch
Title:
Moduln und Ringe
Additional book information:
B. G. Teubner, Stuttgart, 1977, 328 pp., DM 52.
Frank W. Anderson and Kent R. Fuller, Rings and categories of modules, Graduate Texts in Mathematics, Vol. 13, Springer-Verlag, New York-Heidelberg, 1974. MR 0417223
Hyman Bass, Finitistic dimension and a homological generalization of semi-primary rings, Trans. Amer. Math. Soc. 95 (1960), 466–488. MR 157984, DOI 10.1090/S0002-9947-1960-0157984-8
Jean Dieudonné, Remarks on quasi-Frobenius rings, Illinois J. Math. 2 (1958), 346–354. MR 97427
Carl Faith, Rings with ascending condition on annihilators, Nagoya Math. J. 27 (1966), 179–191. MR 193107
Carl Faith, Algebra. II, Grundlehren der Mathematischen Wissenschaften, No. 191, Springer-Verlag, Berlin-New York, 1976. Ring theory. MR 0427349
Carl Faith and Elbert A. Walker, Direct-sum representations of injective modules, J. Algebra 5 (1967), 203–221. MR 207760, DOI 10.1016/0021-8693(67)90035-X
Kiiti Morita, Duality for modules and its applications to the theory of rings with minimum condition, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A 6 (1958), 83–142. MR 96700
Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946
- 1.
- F. W. Anderson and K. R. Fuller, Rings and categories of modules, Springer-Verlag, Berlin and New York, 1974. MR 0417223
- 2.
- H. Bass, Finitistic dimension and a homological generalization of semiprimary rings, Trans. Amer. Math. Soc. 95 (1960), 466-488. MR 157984
- 3.
- J. Dieudonné, Remarks on quasi-Frobenius rings, Illinois J. Math. 2 (1958), 346-354. MR 97427
- 4.
- C. Faith, Rings with ascending chain condition on annihilators, Nagoya Math. J. 27 (1966), 179-191. MR 193107
- 5.
- C. Faith, Algebra. II, Ring theory, Springer-Verlag, Berlin and New York, 1976. MR 427349
- 6.
- C. Faith and E. A. Walker, Direct sum representations of injective modules, J. Algebra 5 (1967), 203-221. MR 207760
- 7.
- K. Morita, Duality for modules and its applications to the theory of rings with minimum condition, Sci. Rep. Tokyo Kyoiku Daigaku, A 6 (1958), 83-142. MR 96700
- 8.
- T. Nakayama, On Frobenius algebras. I, II, Ann. of Math. (2) 40 (1939), 611-633, Ann. of Math. (2) 42 (1941), 1-21. MR 16
Review Information:
Reviewer:
Idun Reiten
Journal:
Bull. Amer. Math. Soc.
84 (1978), 925-929
DOI:
https://doi.org/10.1090/S0002-9904-1978-14536-4
