Open AccessInverse System in The Category of Intuitionistic Fuzzy Soft Modules
Author(s) -
Sebuhi Abdullayev,
Sadi Bayramov
Publication year - 2018
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v14i1.7123
Subject(s) - mathematics , inverse system , inverse limit , functor , inverse , limit (mathematics) , algebra over a field , homology (biology) , discrete mathematics , pure mathematics , mathematical analysis , geometry , biochemistry , chemistry , gene
This paper begins with the basic concepts of soft module. Later, we introduce inverse system in the category of intutionistic fuzzy soft modules and prove that its limit exists in this category. Generally, limit of inverse system of exact sequences of intutionistic fuzzy soft modules is not exact. Then we define the notion which is first derived functor of the inverse limit functor. Finally, using methods of homology algebra, we prove that the inverse system limit of exact sequence of intutionistic fuzzy soft modules is exact.