Group rings and semigroup rings over Strong Mori domains

✍ Scribed by Mi Hee Park

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 173 KB
• Volume: 163
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(00)00160-2

✦ Synopsis

In this paper we study the transfer of the property of being a Strong Mori domain. In particular we give the characterizations of Strong Mori domains in certain types of pullbacks. We show that if R is a Strong Mori domain which is not a ÿeld, then the polynomial ring R[{X } ∈ ] is also a Strong Mori domain and w-dim R[{X } ∈ ] = w-dim R. We also determine necessary and su cient conditions in order that the group ring R[X ; G] or the semigroup ring R[X ; S] should be a Strong Mori domain with w-dimension ≤ 1.