Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2012
Abstract
In lattice theory the two well known equational class of lattices are the distributive lattices and the modular lattices. All distributive lattices are modular however a modular lattice in general is not distributive.
In this book, new classes of lattices called supermodular lattices and semi-supermodular lattices are introduced and characterized as follows: A subdirectly irreducible supermodular lattice is isomorphic to the two element chain lattice C2 or the five element modular lattice M3. A lattice L is supermodular if and only if L is a subdirect union of a two element chain C2 and the five element modular lattice M3.
Publisher
Educational Publisher Inc., Ohio
ISSN
978-1-59973-195-7
Language (ISO)
English
Keywords
lattice theory, supermodular lattices, neutrosophic theory
Recommended Citation
Iqbal Unnisa, W.B. Vasantha Kandasamy, F. Smarandache. Supermodular Lattices. Ohio: Educational Publisher Inc. , 2012.
Creative Commons License
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Included in
Algebra Commons, Algebraic Geometry Commons, Analysis Commons, Number Theory Commons, Other Mathematics Commons
