F eb 2 00 9 Rings over which all projective ideal is free
نویسنده
چکیده
In this paper we introduce and investigate a class of those rings in which every projective ideal is free. We establish the transfer of this notion to the trivial ring extension and pullbacks and then generate new and original families of rings satisfying this property.
منابع مشابه
ar X iv : 0 90 2 . 06 84 v 1 [ m at h . C O ] 4 F eb 2 00 9 PROJECTIVE REFLECTION GROUPS
We introduce the class of projective reflection groups which includes all complex reflection groups. We show that several aspects involving the combinatorics and the representation theory of all non exceptional irreducible complex reflection groups find a natural description in this wider setting.
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In this paper we introduce and investigate a class of those rings in which every projective ideal is free. We establish the transfer of this notion to the trivial ring extension and pullbacks and then generate new and original families of rings satisfying this property.
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