Vol. 47, No. 2, 1973

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A note on primary decompositions of a pseudovaluation

C. P. L. Rhodes

Vol. 47 (1973), No. 2, 507–513
Abstract

Some connections are established between a primary decomposition of a pseudovaluation v on a commutative ring and a primary decomposition of the zero ideal of the associated graded ring of v. The primary decomposition of a certain pseudovaluation vq on a one-dimensional local ring Q is described in terms of the extensions of vq to monoidal transforms of Q.

Mathematical Subject Classification 2000
Primary: 13A15
Milestones
Received: 15 May 1972
Published: 1 August 1973
Authors
C. P. L. Rhodes