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2005•Communications in AlgebraRequires access

FP-PROJECTIVE DIMENSIONS

Lixin Mao, Nanqing Ding

Open publisher page 37 citations

Abstract

We define a dimension, called an FP-projective dimension, for modules and rings. It measures how far away a finitely generated module is from being finitely presented, and how far away a ring is from being Noetherian. This dimension has nice properties when the ring in question is coherent. The relations between the FP-projective dimension and other homological dimensions are discussed.

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What this paper is about

We define a dimension, called an FP-projective dimension, for modules and rings. It measures how far away a finitely generated module is from being finitely presented, and how far away a ring is from being Noetherian. This dimension has nice properties when the ring in question is coherent. The relations between the FP-projective dimension and other homological dimensions are discussed.

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Available abstract

We define a dimension, called an FP-projective dimension, for modules and rings. It measures how far away a finitely generated module is from being finitely presented, and how far away a ring is from being Noetherian. This dimension has nice properties when the ring in question is coherent. The relations between the FP-projective dimension and other homological dimensions are discussed.

Key concepts: Mathematics, Global dimension, Dimension (graph theory), Finitely-generated abelian group, Projective module, Projective test, Noetherian ring, Pure mathematics

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