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An Exact Sequence Associated with a Generalized Crossed Product

Published online by Cambridge University Press:  22 January 2016

Yôichi Miyashita
Yôichi Miyashita*
Affiliation:
Tokyo University of Education
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The purpose of this paper is to generalize the seven terms exact sequence given by Chase, Harrison and Rosenberg [8]. Our work was motivated by Kanzaki [16] and, of course, [8], [9]. The main theorem holds for any generalized crossed product, which is a more general one than that in Kanzaki [16]. In §1, we define a group P(A/B) for any ring extension A/B, and prove some preliminary exact sequences. In §2, we fix a group homomorphism J from a group G to the group of all invertible two-sided B-submodules of A.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 49 , March 1973 , pp. 21 - 51
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

References

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