On Condition (G-PWP)
Laan in (Ph.D Thesis, Tartu. 1999) introduced the principal weak form of Condition $(P)$ as Condition $(PWP)$ and gave some characterization of monoids by this condition of their acts. In this paper first we introduce Condition (G-PWP), a generalization of Condition $(PWP)$ of acts over monoids and...
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Shahid Beheshti University
2016-07-01
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| Series: | Categories and General Algebraic Structures with Applications |
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| Online Access: | http://www.cgasa.ir/article_13905_e158b94d9effd3026710c9030d20f056.pdf |
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doaj-53d9b0c064b74db29607f93a5b8df8032020-11-25T01:11:52ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612016-07-0151558413905On Condition (G-PWP)Mostafa Arabtash0Akbar Golchin1Hossein Mohammadzadeh Saany2Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.Laan in (Ph.D Thesis, Tartu. 1999) introduced the principal weak form of Condition $(P)$ as Condition $(PWP)$ and gave some characterization of monoids by this condition of their acts. In this paper first we introduce Condition (G-PWP), a generalization of Condition $(PWP)$ of acts over monoids and then will give a characterization of monoids when all right acts satisfy this condition. We also give a characterization of monoids, by comparing this property of their acts with some others. Finally, we give a characterization of monoids coming from some special classes, by this property of their diagonal acts and extend some results on Condition $(PWP)$ to this condition of acts.http://www.cgasa.ir/article_13905_e158b94d9effd3026710c9030d20f056.pdf$S$-actcondition ($PWP$)condition ($G$-$PWP$) |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mostafa Arabtash Akbar Golchin Hossein Mohammadzadeh Saany |
| spellingShingle |
Mostafa Arabtash Akbar Golchin Hossein Mohammadzadeh Saany On Condition (G-PWP) Categories and General Algebraic Structures with Applications $S$-act condition ($PWP$) condition ($G$-$PWP$) |
| author_facet |
Mostafa Arabtash Akbar Golchin Hossein Mohammadzadeh Saany |
| author_sort |
Mostafa Arabtash |
| title |
On Condition (G-PWP) |
| title_short |
On Condition (G-PWP) |
| title_full |
On Condition (G-PWP) |
| title_fullStr |
On Condition (G-PWP) |
| title_full_unstemmed |
On Condition (G-PWP) |
| title_sort |
on condition (g-pwp) |
| publisher |
Shahid Beheshti University |
| series |
Categories and General Algebraic Structures with Applications |
| issn |
2345-5853 2345-5861 |
| publishDate |
2016-07-01 |
| description |
Laan in (Ph.D Thesis, Tartu. 1999) introduced the principal weak form of Condition $(P)$ as Condition $(PWP)$ and gave some characterization of monoids by this condition of their acts. In this paper first we introduce Condition (G-PWP), a generalization of Condition $(PWP)$ of acts over monoids and then will give a characterization of monoids when all right acts satisfy this condition. We also give a characterization of monoids, by comparing this property of their acts with some others. Finally, we give a characterization of monoids coming from some special classes, by this property of their diagonal acts and extend some results on Condition $(PWP)$ to this condition of acts. |
| topic |
$S$-act condition ($PWP$) condition ($G$-$PWP$) |
| url |
http://www.cgasa.ir/article_13905_e158b94d9effd3026710c9030d20f056.pdf |
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AT mostafaarabtash onconditiongpwp AT akbargolchin onconditiongpwp AT hosseinmohammadzadehsaany onconditiongpwp |
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