THE ISOMORPHISM-PROBLEM FOR COMMUTATIVE MONOID RINGS

Authors
GUBELADZE J
Citation
J. Gubeladze, THE ISOMORPHISM-PROBLEM FOR COMMUTATIVE MONOID RINGS, Journal of pure and applied algebra, 129(1), 1998, pp. 35-65
Citations number
21
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
129
Issue
1
Year of publication
1998
Pages
35 - 65
Database
ISI
SICI code
0022-4049(1998)129:1<35:TIFCMR>2.0.ZU;2-6
Abstract
By substantial changes and corrections in Demushkin's old paper the es sentially final positive answer to the isomorphism problem for monoid rings of submonoids of Z(r) is obtained. This means that the underlyin g monoid is shown to be determined (up to isomorphism) by the correspo nding monoid ring. Thereafter the positive answer to the analogous que stion for the 'dual' objects - descrete Hedge algebras - is derived. ( C) 1998 Elsevier Science B.V. All rights reserved.