Korean J. Math. Vol. 27 No. 2 (2019) pp.425-435
DOI: https://doi.org/10.11568/kjm.2019.27.2.425

A note on multipliers in almost distributive lattices

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Published: Jun 30, 2019
Keywords:
Almost distributive lattice, multiplier, isotone, idempotent, $Fix_f(L)$
Mathematics Subject Classification:
16Y30, 06B35, 06B99.

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Kyung Ho Kim
Department of Mathematics Korea National University of Transportation Chungju 27469, Korea

Abstract

The notion of multiplier for an almost distributive lattice is introduced, and some related properties are investigated. Moreover, we introduce a congruence relation $\phi_a$ induced by $a\in L$ on an almost distributive lattice and derive some useful properties of $\phi_a.$


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References

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