Title of article
On categories of merotopic, nearness, and lter algebras
Author/Authors
Gompa, Vijaya L. Department Head and Professor of Mathematics - Jacksonville State University
Pages
8
From page
111
To page
118
Abstract
We study algebraic properties of categories of Merotopic, Nearness, and Filter
Algebras. We show that the category of lter torsion free abelian groups is an epire
ective
subcategory of the category of lter abelian groups. The forgetful functor from the category
of lter rings to lter monoids is essentially algebraic and the forgetful functor from the
category of lter groups to the category of lters has a left adjoint.
Keywords
Universal algebra , topological algebra , nearness spaces , merotopic spaces
Journal title
Astroparticle Physics
Serial Year
2016
Record number
2441815
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