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HOMOTOPY THEORY OF MODULES AND ADAMS COCOMPLETION

Part of: Theory of modules and ideals Modules, bimodules and ideals Homotopy theory

Published online by Cambridge University Press:  10 June 2016

SNIGDHA BHARATI CHOUDHURY  and
A. BEHERA
SNIGDHA BHARATI CHOUDHURY
Affiliation:
Department of Mathematics, National Institute of Technology Rourkela, ROURKELA - 769 008, India e-mails: snigdha23choudhury@gmail.com, abehera@nitrkl.ac.in
A. BEHERA
Affiliation:
Department of Mathematics, National Institute of Technology Rourkela, ROURKELA - 769 008, India e-mails: snigdha23choudhury@gmail.com, abehera@nitrkl.ac.in
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Abstract

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In this note, we have obtained a Whitehead-like tower of a module by considering a suitable set of morphisms and shown that the different stages of the tower are the Adams cocompletions of the module with respect to the suitably chosen set of morphisms.

MSC classification

Primary: 55P60: Localization and completion
Secondary: 16D10: General module theory 13C11: Injective and flat modules and ideals
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 3 , September 2017 , pp. 525 - 532
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

References

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