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Abstract
En 中文
In this paper, motivated by the notion of phantom ideals in the category of modules, we develop a general construction which associates phantom ideals of morphisms to special preenveloping classes of modules. As applications, we introduce two new ideals of morphisms arising from E-pure exact sequences and from Hom-exact sequences with respect to modules of finite projective dimension, and we obtain complete cotorsion pairs of ideals in both cases.
Keywords:
Phantom morphisms
pure exact sequences
ideals
Journal
J
IF:
0.6
Papers:
261
Citations:
0
Organization
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