on the u-wpf acts over monoids
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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.
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Journal title:
journal of sciences, islamic republic of iranPublisher: university of tehran
ISSN 1016-1104
volume 18
issue 4 2007
Keywords
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