on condition (g-pwp)
نویسندگان
چکیده
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.
منابع مشابه
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:
categories and general algebraic structures with applicationجلد ۵، شماره ۱، صفحات ۵۵-۸۴
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