© 1988 by London Mathematical Society
F-Ideals in QAB
Department of Mathematics, Bucknell University Lewisburg, Pennsylvania 17837, USA
Mathematisches Institut I, Universität Karlsruhe D-7500 Karlsruhe 1, West Germany
Received 30 March 1987.
Let B denote a closed subalgebra of L
containing H
. Let
and let QAB = QB
H
. We study ideals in QAB which inherit properties from ideals in QB. We answer the following question. When is a prime ideal in QAB the trace of a prime ideal in QB? We also study a similar question for closed ideals in QAB. Several results about finitely generated ideals are also included in this paper.