uniform-extending S-act over a monoid S

Let S be a monoid and AS be an S-act. An S-act AS is called extending act if every subact of AS is ∩-large in a summand of AS. In this work, we present and study a generalization of extending acts over a monoid,. We call an S-act AS is ∩-uniform-extending, if every ∩-uniform subact is ∩-large in a s...

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Bibliographic Details
Main Authors: Al-Zubaidey, Zainab Talib Salman, AL-Saadi, Saad Abdulkadhim
Format: Conference Proceeding
Language:English
Subjects:
Monoids
Online Access:Get full text
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Summary:Let S be a monoid and AS be an S-act. An S-act AS is called extending act if every subact of AS is ∩-large in a summand of AS. In this work, we present and study a generalization of extending acts over a monoid,. We call an S-act AS is ∩-uniform-extending, if every ∩-uniform subact is ∩-large in a summand of AS. Several characterizations, results and properties of these classes of acts are given. For example, we show that a direct sum in the ∩-uniform-extending S-act is not necessary to be ∩-uniform-extending. Additionally, we generalize some of the well-known results of extending S-acts for ∩-uniform-extending acts.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0104015