On a generalization of condition (PWP)
نویسندگان
چکیده مقاله:
There is a flatness property of acts over monoids called Condition $(PWP)$ which, so far, has received much attention. In this paper, we introduce Condition GP-$(P)$, which is a generalization of Condition $(PWP)$. Firstly, some characterizations of monoids by Condition GP-$(P)$ of their (cyclic, Rees factor) acts are given, and many known results are generalized. Moreover, some possible conditions on monoids that describe when their diagonal acts satisfy Condition GP-$(P)$ are found. Finally, using some new types of epimorphisms, an alternative description of Condition GP-$(P)$ (resp., Condition $(PWP)$) is obtained, and directed colimits of these new epimorphisms are investigated.
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ورودمنابع مشابه
on a generalization of condition (pwp)
there is a flatness property of acts over monoids called condition $(pwp)$ which, so far, has received much attention. in this paper, we introduce condition gp-$(p)$, which is a generalization of condition $(pwp)$. firstly, some characterizations of monoids by condition gp-$(p)$ of their (cyclic, rees factor) acts are given, and many known results are generalized. more...
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عنوان ژورنال
دوره 42 شماره 5
صفحات 1057- 1076
تاریخ انتشار 2016-11-01
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