Cohomology of infinite algebras

Authors:
Alex Rosenberg and Daniel Zelinsky

Journal:
Trans. Amer. Math. Soc. **82** (1956), 85-98

MSC:
Primary 09.3X

DOI:
https://doi.org/10.1090/S0002-9947-1956-0078358-3

MathSciNet review:
0078358

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References | Similar Articles | Additional Information

**[1]**A. A. Albert,*Structure of algebras*, New York, 1939.**[2]**Emil Artin, Cecil J. Nesbitt, and Robert M. Thrall,*Rings with Minimum Condition*, University of Michigan Publications in Mathematics, no. 1, University of Michigan Press, Ann Arbor, Mich., 1944. MR**0010543****[3]**Maurice Auslander,*On the dimension of modules and algebras. III. Global dimension*, Nagoya Math. J.**9**(1955), 67–77. MR**74406****[4]**Henri Cartan and Samuel Eilenberg,*Homological algebra*, Princeton University Press, Princeton, N. J., 1956. MR**0077480****[5]**W. C. Carter,*On the cohomology theory of fields*, unpublished doctoral dissertation, Harvard University, 1947.**[6]**Samuel Eilenberg,*Algebras of cohomologically finite dimension*, Comment. Math. Helv.**28**(1954), 310–319. MR**65544**, https://doi.org/10.1007/BF02566937**[7]**Samuel Eilenberg, Masatoshi Ikeda, and Tadasi Nakayama,*On the dimension of modules and algebras. I*, Nagoya Math. J.**8**(1955), 49–57. MR**69157****[8]**G. Hochschild,*On the cohomology groups of an associative algebra*, Ann. of Math. (2)**46**(1945), 58–67. MR**11076**, https://doi.org/10.2307/1969145**[9]**G. Hochschild,*On the cohomology theory for associative algebras*, Ann. of Math. (2)**47**(1946), 568–579. MR**16762**, https://doi.org/10.2307/1969093**[10]**G. Hochschild,*Cohomology and representations of associative algebras*, Duke Math. J.**14**(1947), 921–948. MR**22842****[11]**Masatoshi Ikeda, Hiroshi Nagao, and Tadashi Nakayama,*Algebras with vanishing 𝑛-cohomology groups*, Nagoya Math. J.**7**(1954), 115–131. MR**64032****[12]**Nathan Jacobson,*The Theory of Rings*, American Mathematical Society Mathematical Surveys, vol. II, American Mathematical Society, New York, 1943. MR**0008601****[13]**V. M. Kuročkin,*The decomposition of algebras into a semi-direct sum of the radical and a semisimple subalgebra*, C. R. (Doklady) Acad. Sci. URSS (N. S.) vol. 36 (1942) pp. 42-45.**[14]**Daniel Zelinsky,*Raising idempotents*, Duke Math. J.**21**(1954), 315–322. MR**62107**

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DOI:
https://doi.org/10.1090/S0002-9947-1956-0078358-3

Article copyright:
© Copyright 1956
American Mathematical Society