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Issue:Special types of morphisms in the category CR-IFM

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Title of paper: Special types of morphisms in the category CR-IFM
Author(s):
P. K. Sharma
Post Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Chandni
Research Scholar, Lovely Professional University, Phagwara, Punjab, India
chandni16041986@gmail.com
Nitin Bharadwaj
Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India
nitin.1590301@lpu.co.in
Presented at: Proceedings of the International Workshop on Intuitionistic Fuzzy Sets, 15 December 2023, Banská Bystrica, Slovakia
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 4, pages 351–364
DOI: https://doi.org/10.7546/nifs.2023.29.4.351-364
Download:  PDF (334  Kb, Info)
Abstract: The aim of this paper is to introduce two special type of morphisms, namely Retraction and Coretraction in the category (CR-IFM) of intuitionistic fuzzy modules. We obtain the condition under which a morphism in CR-IFM, that is an intuitionistic fuzzy R-homomorphism, to be a retraction or a coretraction. Then, we acquire some equivalent statements for these two morphisms. Further, we study free, projective and injective objects in CR-IFM and establish their relation with morphism in CR-IFM and retraction, coretraction.
Keywords: Intuitionistic fuzzy modules, Intuitionistic fuzzy R-homomorphism, Intuitionistic fuzzy coretraction, Intuitionistic fuzzy retraction, Intuitionistic fuzzy projective modules, Intuitionistic fuzzy injective modules
AMS Classification: 03F55, 16D90, 18A20.
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