On categories of merotopic, nearness, and filter algebras

Journal of Linear and Topological Algebra

مقاله 5، دوره 05، شماره 02، مرداد 2016، صفحه 111-118   

نوع مقاله: Research Paper

نویسنده

V. Gompa^*

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

چکیده

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 category of filters has a left adjoint.

کلیدواژه‌ها

Universal algebra؛ topological algebra؛ nearness spaces؛ merotopic spaces؛ filter spaces

مراجع

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