Inverse and Direct System in Category of Fuzzy Modules
نویسندگان
چکیده
In this study, we first define the concept of inverse and direct system in category of fuzzy modules. We investigate whether or not limit of inverse (direct) system of exact sequences of fuzzy modules is exact. Later, we show that direct system limit of exact sequences of fuzzy modules is exact. Generally, limit of inverse system of exact sequences is not exact. Then we define the notion ← (1) lim which is first derived functor of the inverse limit functor.
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