Inverse System in The Category of Intuitionistic Fuzzy Soft Modules

S. E. Abdullayev; Sadi Bayramov

doi:10.24297/jam.v14i1.7123

Authors

S. E. Abdullayev Baku State University
Sadi Bayramov Baku State University

DOI:

https://doi.org/10.24297/jam.v14i1.7123

Keywords:

Soft Set, Soft Module, Fuzzy Soft Module, Inverse System, Inverse Limit, Perivative Factor of Ä°nverse Limit.

Abstract

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.

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Author Biographies

S. E. Abdullayev, Baku State University

Department of Algebra and Geometry, Baku State University, 23, Z.Khalilov str., AZ1148, Baku, Azerbaijan

Sadi Bayramov, Baku State University

Department of Algebra and Geometry,,Baku State University, 23, Z.Khalilov str., AZ1148, Baku, Azerbaijan

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