V. Gompa

Department Head and Professor of Mathematics, Jacksonville State University, Jacksonville, AL 36265, USA

[ 1 ] - On categories of merotopic, nearness, and filter algebras

We study algebraic properties of categories of Merotopic, Nearness, and Filter Algebras. We show that the category of filter torsion free abelian groups is an epireflective subcategory of the category of filter abelian groups. The forgetful functor from the category of filter rings to filter monoids is essentially algebraic and the forgetful functor from the category of filter groups to the cat...

[ 2 ] - 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...

نویسندگان همکار