Category Of Grey Sets

Authors

  • Masoomeh Hezarjaribi Department of Mathematics, Payame Noor University(PNU),Tehran, Iran.
  • Davood Darvishi Solokolaei Department of Mathematics, Payame Noor University(PNU),Tehran, Iran.
  • Zohreh Habibi Department of Mathematics, Payame Noor University(PNU),Tehran, Iran.

Keywords:

Coincidence point, category, grey morphism, grey set

Abstract

In this paper, we introduce the concept of morphisms between two grey sets and defined a new category, namely, GSet, of grey sets and grey morphisms. We investigate some categorical notions such product, coproduct, pullback, and pushout. Additionally, we study equalizer and coequalizer for pairs of grey morphisms and show that any grey set has an injective hull.

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Published

2024-06-30

Issue

Vol. 20 No. 1 (2024): Journal of Prime Research in Mathematics

Section

Regular

License

Copyright (c) 2024 Journal of Prime Research in Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Category Of Grey Sets. (2024). Journal of Prime Research in Mathematics, 20(1), 99–106. https://jprm.sms.edu.pk/index.php/jprm/article/view/227