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4 - Objects of Type Π / ⨿

Published online by Cambridge University Press:  30 November 2018

Radoslav Dimitric
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Summary

Infinite product over infinite coproduct is an object of prime importance for slenderness. So is pure injectivity and purity. This chapter also looks into filtered quotients in general in order to understand thebigger picture.Countability conditions represent a watershed case. Special cases of modules and domains are examined.

Keywords

product mod coproductproduct mod direct sumpure submodulepure injective modulealgebraically compact modulecotorsion modulefilter productsfilter quotientsLos Principleslender modules over domains
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Information
Slenderness , pp. 150 - 188
Publisher: Cambridge University Press
Print publication year: 2018

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