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Almost Krull rings

Published online by Cambridge University Press:  09 April 2009

E. Jespers  and
P. Wauters
E. Jespers
Affiliation:
Department of Mathematics, University of Cape Town, 7700 Rondebosch, South Africa
P. Wauters
Affiliation:
Katholieke Universiteit Leuven, Leuven, Belgium
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Abstract

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The notion of an almost Krull domain is extended to rings satisfying a polynomial identity. Some general structural results are obtained. We also prove that skew polynomial rings R [ X, σ] remain almost Krull if R is an almost Krull ring. Finally, we study when semigroup ring R[S] are almost Krull rings, in the case when the group of quotients of S has the ascending chain condition on cyclic subgroups. An example is included to show that the general (semi-) group ring case is much more difficult to deal with.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 41 , Issue 2 , October 1986 , pp. 275 - 285
Copyright
Copyright © Australian Mathematical Society 1986

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