On direct summands of modules of finite phantom projective dimension

Autores: Trigan Ananyan
Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 4, 2010, págs. 731-747
Idioma: inglés
DOI: 10.4310/mrl.2010.v17.n4.a12
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Resumen
- The main result of this paper is the construction of an example of a local ring $R$ of finite characteristic and cyclic $R$-modules $M$ and $N$ such that $M\oplus N$ has a finite phantom projective dimension, however neither $M$ nor $N$ has finite phantom projective resolution.