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On the Problem of Characterizing Standard Elements by the Exclusion of Sublattices

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Abstract

This paper gives a characterization of standard elements involving the exclusion of 19 types of sublattices containing it along with a property called the lower separation property for the element. In particular, a characterization of standard elements in M-symmetric lattices by the exclusion of 11 types of sublattices containing it is obtained.

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Authors and Affiliations

  1. Department of Mathematics, Mangalore University, Mangalagangothri, 574 199, Karnataka State, India

    S. Parameshwara Bhatta

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  1. S. Parameshwara Bhatta
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Correspondence to S. Parameshwara Bhatta.

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Bhatta, S.P. On the Problem of Characterizing Standard Elements by the Exclusion of Sublattices. Order 28, 565–576 (2011). https://doi.org/10.1007/s11083-010-9192-y

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  • DOI: https://doi.org/10.1007/s11083-010-9192-y

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