S-Linear Almost Distributive Lattices
Keywords:
Almost Distributive Lattice (ADL), S − normal ADL, S − relatively normal ADL, S − linear ADL, uni subADL, Birkhoff centre, S − ideal, S − filter, Prime ideal, Prime filterAbstract
The concept of an S − Linear ADL is defined and characterized interms of the S − prime ideals and S − prime filters. Equivalent condition for an ADL R to become a (dually)B − relatively normal ADL in terms of minimal prime ideals(filters) and B − maximal ideals(filters) is obtained, where B is the Birkhoff centre of R.
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Published
2010-09-02
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Algebra
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How to Cite
S-Linear Almost Distributive Lattices. (2010). European Journal of Pure and Applied Mathematics, 3(4), 704-716. https://www.ejpam.com/index.php/ejpam/article/view/709