Joseph Gubeladze
The isomorphism problem for commutative monoid rings
The paper is published:
Journal of Pure and Applied Algebra, 129 (1998), pp. 35-65
- MSC:
- 14E09 Automorphisms, See also {14J50, 14L27}
- 16S36 Ordinary and skew polynomial rings and semigroup rings, See also {20M25}
Abstract: By substantial changes and corrections in Demushkin's old paper the essentially final positive answer to the isomorphism problem for monoid rings of submonoids of Zr is obtained.
This means that the underlying monoid is shown to be determined (up to isomorphism) by the corresponding monoid ring.
Thereafter the positive answer to the analogous question for the `dual' objects -descrete Hodge algebras - is derived.
Keywords: Hodge algebras, commutative monoid rings