$mathcal{x}$-injective and $mathcal{x}$-projective complexes

Authors

t. özen

department of mathematics‎, ‎abant izzet baysal university‎, gölköy kampüsü bolu, turkey. e. ‎yıldırım

department of mathematics‎, ‎abant izzet baysal university‎, gölköy kampüsü bolu, turkey.

abstract

let $mathcal{x}$ be a class of $r$-modules‎. ‎in this paper‎, ‎we investigate ;$mathcal{x}$-injective (projective) and dg-$mathcal{x}$-injective (projective) complexes which are generalizations of injective (projective) and dg-injecti‎‎ve (projective) complexes‎. ‎we prove that some known results can be extended to the class of ;$mathcal{x}$-injective (projective) and dg-$mathcal{x}$-injective (projective) complexes for this general settings.

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Journal title:
bulletin of the iranian mathematical society

جلد ۴۲، شماره ۵، صفحات ۱۲۲۱-۱۲۳۵

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