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Retracts and Injectives

Published online by Cambridge University Press:  20 November 2018

Shalom Feigelstock
Affiliation:
Bar-Ilan UniversityRamat-Gan, Israel
Aaron Klein
Affiliation:
Bar-Ilan UniversityRamat-Gan, Israel
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Abstract

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Embedding theorems are employed to show that many important categories do not possess non-trivial retracts or injectives. E.g., the categories of monoids, groups, rings, rings with unity, polynomial identity rings, nilpotent groups, solvable groups, and several varieties of groups.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1982

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