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Coherent Pairs of Extensions of Associative Algebras

Published online by Cambridge University Press:  22 January 2016

N. Ramabhadran
N. Ramabhadran*
Affiliation:
National College, Tiruchirapalli-1 (Madras State, India.)
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Let K be a commutative ring with identity element and let Λi, i = 1, 2 be two K-projective associative algebras with identity element such that the map k → k · l of K into Λi is a monomorphism of K onto a K-direct summand of Λi, i = 1, 2. Let Λ = Λ1 ⊗ Λ2 and A be a two sided (Λ1, Λ2)-bimodule.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 26 , February 1966 , pp. 1 - 12
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Cartan, H. and Eilenberg, S.: HOMOLOGICAL ALGEBRA, Princeton University Press, 1956.Google Scholar
[2] Haimo, F. and Maclane, S.: The Cohomology theory of a pair of groups, III. J. Math., V. 5 (1961), 45–60.Google Scholar