International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Since Year 2012 | Open Access | Fully Refereed | Peer Reviewed

ISSN: 2319-7064




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Research Paper | Mathematics | Turkey | Volume 8 Issue 9, September 2019


Convergence via Filter in Locally Solid Riesz Spaces

Abdullah Aydn


Abstract: Let (E, I) be a locally solid vector lattice. A filter F on the set E is said to be convergent to a vector xaE if, each zero neighborhood set U containing x, U belongs to F. In this paper, we introduce the notion of filter convergence with respect to locally solid topology and study the concept of this convergence and give some basic properties of it.


Keywords: filter convergence, locally solid Riesz space


Edition: Volume 8 Issue 9, September 2019,


Pages: 351 - 353


How to Cite this Article?

Abdullah Aydn, "Convergence via Filter in Locally Solid Riesz Spaces", International Journal of Science and Research (IJSR), Volume 8 Issue 9, September 2019, pp. 351-353, https://www.ijsr.net/get_abstract.php?paper_id=ART20201029

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