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" On the U-WPF Acts over Monoids "


Record Number : 1503232
Language of Document : English
Main Entry : A. Golchin
Title & Author : On the U-WPF Acts over Monoids [electronic resources: essay]/ A. Golchin
Piece Level : Journal of Sciences, Islamic Republic of Iran
Notes Pertaining to Publication, Distribution, Etc. : March 2007
: Original Paper
Access Link : https://jsciences.ut.ac.ir/article_35076.html
: https://jsciences.ut.ac.ir/article_35076_7179cbf62319b0387870e23cc9c2338f.pdf
Summary or 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.
Topical Name Used as Subject : Regular
: Strongly faithful
: U-WPF
Originating Source : University of Tehran. Central Library and Documentation Center
copyhttps://lib.ut.ac.ir/site/catalogue/1503232
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