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On the U-WPF Acts over Monoids | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 4، دوره 18، شماره 4، اسفند 2007، صفحه 323-328 اصل مقاله (98.26 K) | ||
| نوع مقاله: Original Paper | ||
| نویسنده | ||
| A. Golchin | ||
| Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Islamic Republic of Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| U-WPF؛ Strongly faithful؛ Regular | ||
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