Cofinitely soc-supplemented lattices

Volume 18 , Issue 4 , December 2016 , Pages 205-210

Authors

Ismael Akray 1 ; Haval M. Mohammed Salih 1

1 Department of Mathematics, Faculty of Science, Soran University/Erbil/Iraq

DOI logo 10.17656/jzs.10576

Keywords

Abstract

In this paper, we define Rad-supplemented lattice and its dual soc-supplemented lattice. Furthermore, we show that in compactly generated lattices the first one is equivalent to supplemented lattice. Also, we study some properties of soc-supplemented lattices. Finally, we define cofinitely soc-supplemented lattice (briefly css-lattice) and proved that an arbitrary join of css-lattices is a css-lattice.

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  • Published at20 December 2016

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