THE ISOMORPHISM-PROBLEM FOR MONOID RINGS OF RANK-2 MONOIDS

Authors
GUBELADZE J
Citation
J. Gubeladze, THE ISOMORPHISM-PROBLEM FOR MONOID RINGS OF RANK-2 MONOIDS, Journal of pure and applied algebra, 105(1), 1995, pp. 17-51
Citations number
12
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
105
Issue
1
Year of publication
1995
Pages
17 - 51
Database
ISI
SICI code
0022-4049(1995)105:1<17:TIFMRO>2.0.ZU;2-7
Abstract
The main result of this paper is that for a commutative ring R and fin itely generated submonoids M and N of Z(2) the monoid rings R[M] and R [N] are isomorphic as R algebras if and only if M and N are isomorphic . In the course of proof we derive various results concerning the stru cture of rank 2 monoids and isomorphisms between the corresponding mon oid rings.