Commutative algebras and cohomology

Harrison, D. K.

doi:10.1090/S0002-9947-1962-0142607-6

Commutative algebras and cohomology

Author: D. K. Harrison
Journal: Trans. Amer. Math. Soc. 104 (1962), 191-204
MSC: Primary 13.90
DOI: https://doi.org/10.1090/S0002-9947-1962-0142607-6
MathSciNet review: 0142607
Full-text PDF Free Access

Samuel Eilenberg and Saunders Mac Lane, On the groups $H(\Pi ,n)$. I, Ann. of Math. (2) 58 (1953), 55–106. MR 56295, DOI https://doi.org/10.2307/1969820
G. Hochschild, On the cohomology groups of an associative algebra, Ann. of Math. (2) 46 (1945), 58–67. MR 11076, DOI https://doi.org/10.2307/1969145
Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
G. Hochschild, On the cohomology theory for associative algebras, Ann. of Math. (2) 47 (1946), 568–579. MR 16762, DOI https://doi.org/10.2307/1969093
G. Hochschild, Cohomology and representations of associative algebras, Duke Math. J. 14 (1947), 921–948. MR 22842

S. Eilenberg and S. Mac Lane, Cohomology theory in abstract groups. II, Ann. of Math. (2) 48 (1947), 326-341.

Samuel Eilenberg and Tadasi Nakayama, On the dimension of modules and algebras. II. Frobenius algebras and quasi-Frobenius rings, Nagoya Math. J. 9 (1955), 1–16. MR 73577
Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Company, Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. MR 0090581
Oscar Zariski and Pierre Samuel, Commutative algebra. Vol. II, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N. J.-Toronto-London-New York, 1960. MR 0120249
Masao Narita, On the structure of complete local rings, Proceedings of the international symposium on algebraic number theory, Tokyo & Nikko, 1955, Science Council of Japan, Tokyo, 1956, pp. 251–253. MR 0083483