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Generalizations of decomposition theorems known over perfect rings

Published online by Cambridge University Press:  09 April 2009

Saad Mohamed  and
Surjeet Singh
Saad Mohamed
Affiliation:
Department of Mathematics, Kuwait University, Kuwait.
Surjeet Singh
Affiliation:
Department of Mathematics, Guru Nanak Dev University, Amritsar, India.
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Abstract

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In this paper we introduce and study the notion of dual continuous (d–continuous) modules. A decomposition theorem for a d–continuous module is proved; this generalizes all known decomposition theorems for quasi-projective modules. Besides we study the structure of d–continuous modules over some special types of rings.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 4 , December 1977 , pp. 496 - 510
Copyright
Copyright © Australian Mathematical Society 1977

References

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