Note on the Cohomology Groups of Associative Algebras
- 1 October 1953
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 6, 85-92
- https://doi.org/10.1017/s0027763000017013
Abstract
The cohomology theory of associative algebras has been developed by G. liochschild [1], [2], [3], and the 1-, 2-, and 3-dimensional cohomology groups have been interpreted with reference to classical notions of structure in his papers. Recently M. Ikeda has obtained, by a detailed analysis of Hochschild’s modules, an interesting structural characterization of the class of algebras whose 2-dimensional cohomology groups are all zero [5].Keywords
This publication has 5 references indexed in Scilit:
- On Absolutely Segregated AlgebrasNagoya Mathematical Journal, 1953
- On the cohomology theory of rings.Journal of the Mathematical Society of Japan, 1948
- Cohomology and representations of associative algebrasDuke Mathematical Journal, 1947
- On the Cohomology Theory for Associative AlgebrasAnnals of Mathematics, 1946
- On the Cohomology Groups of an Associative AlgebraAnnals of Mathematics, 1945