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Vol. 46 No. 1 (2020)
Serdica Mathematical Journal

Articles

Supplemented property in the lattices

Published 22-06-2020

  • Shahabaddin Ebrahimi Atani
    • ,
  • Maryam Chenari

Shahabaddin Ebrahimi Atani
University of Guilan, Iran

Maryam Chenari
University of Guilan, Iran

Abstract

Let \(L\) be a lattice with the greatest element 1. In a manner analogous to a module over a ring, we introduce (amply) supplemented filters of \(L\). The basic properties and possible structures of such filters are investigated.

2020 Mathematics Subject Classification:

06C05, 06C15

Keywords

lattices, supplemented filters, amply supplemented filters, hollow filter

Full text

Author Details

Shahabaddin Ebrahimi Atani

Department of Mathematics
University of Guilan
P.O.Box 1914, Rasht, Iran
e-mail: ebrahimiatani@gmail.com

Maryam Chenari

Department of Mathematics
University of Guilan
P.O.Box 1914, Rasht, Iran
e-mail: chenari.maryam13@gmail.com

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