Monomorphism and Epimorphism Properties of Soft Categories

Simge Öztunç, Ali Mutlu, Aysun Erdoğan Sert

Abstract

In this paper, firstly we recall some definitions and basic properties of soft set theory, category theory and soft category theory. We study on soft monomorphism, soft epimorphism, equalizer and coequalizer for soft categories. We gave some properties of these soft morphisms. We proved that the soft Category SFun has coequalizers, equalizer of a morphism pair in SFun category is soft monic and coequalizers of a morphism pair in SFun category is soft epic.

Keywords

Soft Set, Soft Category, Monomorphism, Epimorphism

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