on a generalization of condition (pwp)
نویسندگان
چکیده
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.
منابع 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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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 then will give a characterization of monoids when all right acts satisfy this condition. we also ...
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عنوان ژورنال:
bulletin of the iranian mathematical societyجلد ۴۲، شماره ۵، صفحات ۱۰۵۷-۱۰۷۶
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