Cartesian closed subcategories of topological fuzzes
نویسندگان
چکیده
منابع مشابه
Subcategories of topological algebras
In addition to exploring constructions and properties of limits and colimits in categories of topological algebras, we study special subcategories of topological algebras and their properties. In particular, under certain conditions, reflective subcategories when paired with topological structures give rise to reflective subcategories and epireflective subcategories give rise to epireflective s...
متن کاملCartesian Closed Topological Categories and Tensor Products
The projective tensor product in a category of topologicalR-modules (where R is a topological ring) can be defined in Top, the category of topological spaces, by the same universal property used to define the tensor product of R-modules in Set. In this article, we extend this definition to an arbitrary topological category X and study how the cartesian closedness of X is related to the monoidal...
متن کاملFree Modules over Cartesian Closed Topological Categories
The construction of free R-modules over a cartesian closed topological category X is detailed (where R is a ring object in X), and it is shown that the insertion of generators is an embedding. This result extends the well-known construction of free groups, and more generally of free algebras over a cartesian closed topological category.
متن کاملsubcategories of topological algebras
in addition to exploring constructions and properties of limits and colimits in categories of topologicalalgebras, we study special subcategories of topological algebras and their properties. in particular, undercertain conditions, reflective subcategories when paired with topological structures give rise to reflectivesubcategories and epireflective subcategories give rise to epireflective subc...
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ژورنال
عنوان ژورنال: Algebraic structures and their applications
سال: 2019
ISSN: 2382-9761,2423-3447
DOI: 10.29252/asta.6.1.23