The Universal Coefticient Theorem in the Category of Fuzzy Soft Modules

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 2

Abstract

This paper begins with the basic concepts of chain comlexes of fuzzy soft modules. Later, we introduce short exact sequence of fuzzy soft modules and prove that split short exact sequence of fuzzy soft chain complex. Naturally, we want to investigate whether or not the universal coefficient theorems are satisfied in category of fuzzy soft chain complexes. However, in the proof of these theorems in the category of chain complexes, exact sequence of homology modules of chain complexes is used. Generally, sequence of fuzzy soft homology modules is not exact in fuzzy chain complexes. Therefore in this study, we construct exact sequence of fuzzy soft homology modules under some conditions. Universal coefficients theorem is proven by making use of this idea.

Authors and Affiliations

Sebuhi Abdullayev, S. A. Bayramov

Keywords

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  • EP ID EP651883
  • DOI 10.24297/jam.v14i2.7599
  • Views 202
  • Downloads 0

How To Cite

Sebuhi Abdullayev, S. A. Bayramov (2018). The Universal Coefticient Theorem in the Category of Fuzzy Soft Modules. JOURNAL OF ADVANCES IN MATHEMATICS, 14(2), 7893-7904. https://europub.co.uk/articles/-A-651883