Abstract
In this paper we construct a functor that we call localization functor defined in the category of complexes of left A-modules where A is a not necessarily commutative ring and we study some of its properties. Besides, we study its relationship with the homological functors \(Tor_n\) and \(\overline{EXT}^n\).
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Dembele, B., Faraj ben Maaouia, M.B., Sanghare, M. (2020). The Functor \(S^{-1}_C()\) and Its Relationship with Homological Functors \(T or_n\) and \(\overline{EXT}^n \). In: Siles Molina, M., El Kaoutit, L., Louzari, M., Ben Yakoub, L., Benslimane, M. (eds) Associative and Non-Associative Algebras and Applications. MAMAA 2018. Springer Proceedings in Mathematics & Statistics, vol 311. Springer, Cham. https://doi.org/10.1007/978-3-030-35256-1_14
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