Injective Object and Injective Hull in the Category L-Top and L-Top <sub>0</sub>

In this work, we characterize the injective objects with respect to the class of all embeddings in the category [Formula: see text] of [Formula: see text]-topological spaces and [Formula: see text] of [Formula: see text]-[Formula: see text]-topological spaces. Further, we obtain the injective hull of a [Formula: see text]-[Formula: see text]-topological space within the category [Formula: see text].

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Publication Details

Journal
New Mathematics and Natural Computation
Published
2026-02-19
DOI
https://doi.org/10.1142/s1793005728500299
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Injective Object and Injective Hull in the Category L-Top and L-Top 0

Rana Noor, Madhusudan Deval
New Mathematics and Natural Computation
Fuzzy and Soft Set Theory
article

Injective Object and Injective Hull in the Category L-Top and L-Top 0

Rana Noor, Madhusudan Deval
article en

Abstract

In this work, we characterize the injective objects with respect to the class of all embeddings in the category [Formula: see text] of [Formula: see text]-topological spaces and [Formula: see text] of [Formula: see text]-[Formula: see text]-topological spaces. Further, we obtain the injective hull of a [Formula: see text]-[Formula: see text]-topological space within the category [Formula: see text].

New Mathematics and Natural Computation
Banaras Hindu University (IN)
Openalex Percentile: Top 55%
Fuzzy and Soft Set Theory
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Injective Object and Injective Hull in the Category L-Top and L-Top <sub>0</sub> — Rana Noor, Madhusudan Deval · New Mathematics and Natural Computation (2026) | TGRS Research Map | TGRS