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Category Of Grey Sets

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Title: Category Of Grey Sets

Authors: Masoomeh Hezarjaribi, Davood Darvishi Solokolaei, Zohreh Habibi

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2024

Volume: 20

Issue: 1

Language: English

Keywords: grey setsgrey morphismsGSetcategorymorphisms

Categories
Mathematical Structures (3) Grey Sets (1) Morphisms (1) Abstract Algebra (137) Category Theory (5)

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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