GROUP RINGS OF COUNTABLE NON-ABELIAN LOCALLY FREE GROUPS ARE PRIMITIVE
نویسندگان
چکیده
منابع مشابه
Divisibility Properties of Group Rings over Torsion-free Abelian Groups
Let G be a torsion-free abelian group of type (0, 0, 0, . . . ) and R an integrally closed integral domain with quotient field K. We show that every divisorial ideal (respectively, t-ideal) J of the group ring R[X;G] is of the form J = hIR[X;G] for some h ∈ K[X;G] and a divisorial ideal (respectively, t-ideal) I of R. Consequently, there are natural monoid isomorphisms Cl(R) ∼= Cl(R[X;G]) and C...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2011
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196711006273