The Picard group of a monoid domain, II
Copyright policy ) Anderson, David F.;
The Picard group of a monoid domain, II
[For part I see J. Algebra 115, No.2, 342-351 (1988; Zbl 0651.13009).] Let R be an integral domain and S a nonzero commutative cancellative torsion-free monoid with group of invertible elements H properly contained in S. Then \(Pic(R[H])=Pic(R[S])\) if and only if R[S] is seminormal. This generalizes part I of this work.
- University of Tennessee at Knoxville United States
Integral domains, Semigroup rings, multiplicative semigroups of rings, invertible elements, Picard group, Homological methods in commutative ring theory, seminormal monoid domain
Integral domains, Semigroup rings, multiplicative semigroups of rings, invertible elements, Picard group, Homological methods in commutative ring theory, seminormal monoid domain
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