Distributive Convex l-Subgroup in Commutative l-Group - Jayakumar, Vimala
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Lattice constructions play a central role in Lattice theory. Garrett Birkhoff's work in the mid-1930s started the general development of Lattice Theory. The theory of distributive lattices is a major part of the present lattice theory. In this study, a commutative lattice ordered group is defined and some properties are given. Moreover, l-ideals and various kinds of l-ideals are established. Further, some of its structures and characterization theorems are investigated.

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Produktbeschreibung
Lattice constructions play a central role in Lattice theory. Garrett Birkhoff's work in the mid-1930s started the general development of Lattice Theory. The theory of distributive lattices is a major part of the present lattice theory. In this study, a commutative lattice ordered group is defined and some properties are given. Moreover, l-ideals and various kinds of l-ideals are established. Further, some of its structures and characterization theorems are investigated.
Autorenporträt
Dr. VIMALA JAYAKUMAR received a Ph.D. degree in Mathematics from Alagappa University, Karaikudi, Tamil Nadu, India, in 2007. She has presented many papers at various international conferences. She published three books. Her research interests include Algebra, Lattice theory, Fuzzy Mathematics, Fuzzy Algebraic hyperstructure and Decision making.