Vol. 134, No. 1, 1988

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On the global dimension of fibre products

Ellen Kirkman and James J. Kuzmanovich

Vol. 134 (1988), No. 1, 121–132
Abstract

In this paper we will sharpen Wiseman’s upper bound on the global dimension of a fibre product [Theorem 2] and use our bound to compute the global dimension of some examples. Our upper bound is used to prove a new change of rings theorem [Corollary 4]. Lower bounds on the global dimension of a fibre product seem more difficult; we obtain a result [Proposition 12] which allows us to compute lower bounds in some special cases.

Mathematical Subject Classification
Primary: 16A60, 16A60
Milestones
Received: 23 February 1987
Published: 1 September 1988
Authors
Ellen Kirkman
Wake Forest University
James J. Kuzmanovich