n-T -torsionfree modules

As a generalization of the Auslander-Reiten transpose, Xi introduced and studied a more general transpose,called the relative transpose (or, T -transpose). Based on this notion, the notion of relative n-torsionfree modules (or,n-T -torsionfree modules) is introduced in this paper, which is a generalization of the n-torsionfree modules introducedby Auslander and Bridger. We show that relative n-torsionfree modules have many similar properties of n-torsionfreemodules.

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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