On Maximal Chains In Partially Ordered Sets With Compatible (Left, Right)- Group Actions

In this paper, we deal with compatible (left, right)-group actions on posets, i.e; (G, H)-posets. Our main purpose in this work is to study the maximal chains in  (G, H)-posets to observe that this study gives us indications on the type of some (G, H) actions on posets. Therefore, we shall study the...

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Bibliographic Details
Main Authors: Abdul Mohammad, Eman Tahir
Format: Article
Language:English
Published: Mosul University 2013-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
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Online Access:https://csmj.mosuljournals.com/article_163545_44e87fc905ea99aacbb6a6cdb8f18dbb.pdf
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Summary:In this paper, we deal with compatible (left, right)-group actions on posets, i.e; (G, H)-posets. Our main purpose in this work is to study the maximal chains in  (G, H)-posets to observe that this study gives us indications on the type of some (G, H) actions on posets. Therefore, we shall study the behavior of the (G, H) actions on chains.
ISSN:1815-4816
2311-7990