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Paper Information

Journal:   JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN   FALL 2007 , Volume 18 , Number 4; Page(s) 323 To 328.
 
Paper: 

ON THE U-WPF ACTS OVER MONOIDS

 
 
Author(s):  GOLCHIN A.*, MOHAMMADZADEH H.
 
* DEPARTMENT OF MATHEMATICS, UNIVERSITY OF SISTAN AND BALUCHESTAN, ZAHEDAN, ISLAMIC REPUBLIC OF IRAN
 
Abstract: 

Valdis Laan in [5] introduced an extension of strong flatness which is called weak pullback flatness. In this paper we introduce a new property of acts over monoids, called U-WPF which is an extension of weak pullback flatness and give a classification of monoids by this property of their acts and also a classification of monoids when this property of acts implies others. We also show that regularity and strong faithfulness of acts both imply U-WPF. An equivalent of that over monoids for which torsion freeness implies U-WPF is given too.

 
Keyword(s): U-WPF, STRONGLY FAITHFUL, REGULAR
 
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