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- W4234629381 abstract "Publisher SummaryThis chapter discusses some semi-group structures on subsets of ideals of a commutative ring A . The classical example is that of the divisorial ideals of a completely integrally closed domain so successfully used in the study of the factoriality. The chapter emphasizes on the divisor of Auslander-MacRae-Mumford defined on the category of finitely generated torsion modules of finite projective dimension. The chapter also discusses computations of the length of the torsion part of a module of dimension one, to conditions ensuring the splitting of sequences of such modules, and to an exposition of a result of Burch characterizing the torsion-free modules of rank one and projective dimension one." @default.
- W4234629381 created "2022-05-12" @default.
- W4234629381 date "1974-01-01" @default.
- W4234629381 modified "2023-09-27" @default.
- W4234629381 title "Chapter 3 Divisorial Ideals" @default.
- W4234629381 doi "https://doi.org/10.1016/s0304-0208(08)70342-6" @default.
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