A note on regular group rings.
نویسندگان
چکیده
منابع مشابه
On Regular Group Rings
Let G be a multiplicative group, K a commutative ring with unit, and K(G) the group ring of G with respect to K. We say that K(G) is regular if given an x in K(G), there is a y in K(G) such that xyx = x. Using a homological characterization of regular rings which was found independently by M. Harada [2, Theorem 5] and the author, we prove that if G is locally finite, then K(G) is regular if and...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1958
ISSN: 0026-2285
DOI: 10.1307/mmj/1028998056