Quasi injectivity and [theta]-internal order sum in partially ordered acts

Injectivity (weakly injectivity) of objects is an important concept which category theory inherited from homological and commutative algebra. One of the useful kinds of weakly injectivity is quasi injectivity. In this paper, we study the relation between different kinds of quasi injectivity and the...

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Bibliographic Details
Published in:Quaestiones mathematicae 2019-03, Vol.42 (3), p.407
Main Author: Yavari, Mahdieh
Format: Article
Language:English
Subjects:
Homology
Monoids
Online Access:Get full text
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Summary:Injectivity (weakly injectivity) of objects is an important concept which category theory inherited from homological and commutative algebra. One of the useful kinds of weakly injectivity is quasi injectivity. In this paper, we study the relation between different kinds of quasi injectivity and the concept of θ-internal order sum in the category of actions of an ordered monoid on ordered sets and some of its important subcategories. From the results obtained, we investigated the relations between these types of quasi injectivity.
ISSN:1607-3606
1727-933X
DOI:10.2989/16073606.2018.1455759