1. Extensional subobjects in categories of $\Omega$-fuzzy sets
- Creator:
- Močkoř, Jiří
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- $MV$-algebras, similarity relation, and quasi-reflective subcategory
- Language:
- English
- Description:
- Two categories $\mathbb{Set}(\Omega )$ and $\mathbb{SetF}(\Omega )$ of fuzzy sets over an $MV$-algebra $\Omega $ are investigated. Full subcategories of these categories are introduced consisting of objects $(\mathop {{\mathrm sub}}(A,\delta )$, $\sigma )$, where $\mathop {{\mathrm sub}}(A,\delta )$ is a subset of all extensional subobjects of an object $(A,\delta )$. It is proved that all these subcategories are quasi-reflective subcategories in the corresponding categories.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public