Mathematica Bohemica, Vol. 147, No. 4, pp. 525-545, 2022


$G$-supplemented property in the lattices

Shahabaddin Ebrahimi Atani

Received 13 July, 2020.   Published online January 26, 2022.

Abstract:  Let $L$ be a lattice with the greatest element 1. Following the concept of generalized small subfilter, we define $g$-supplemented filters and investigate the basic properties and possible structures of these filters.
Keywords:  filter; $g$-small; $g$-supplemented; lattice
Classification MSC:  06C05; 06C15


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Affiliations:   Shahabaddin Ebrahimi Atani, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran, e-mail: ebrahimi@guilan.ac.ir


 
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