On the $\cap$-structure spaces

Authors

  • Jamal Hashemi zadeh Dezfuly Shahid Chamran University of Ahvaz

DOI:

https://doi.org/10.30495/jme.v14i0.1258

Keywords:

Algebraic Structure, connected, compact, Lattice, $\cap$-structure space, subspace.

Abstract

The family $\MM_X\sub\mathcal{P}(X)$ is called an $\cap$-structure, when it is closed under the arbitrary intersection. This concept has been studied and considered in algebra, specially in lattices. Using this concept, we define a quasi topological structure which is called $\cap$-structure space. By studying this space, we attempt to explain some  algebraic concepts through this structure.  

Author Biography

Jamal Hashemi zadeh Dezfuly, Shahid Chamran University of Ahvaz

Department of Mathematics.

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Published

2019-09-22

Issue

Vol. 14

Section

Vol. 14, No. 3, (2020)

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