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

Kyung Ho Kim

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 $\phi_a.$

Keywords


Almost distributive lattice, multiplier, isotone, idempotent, $Fix_f(L)$

Subject classification

16Y30, 06B35, 06B99.

Sponsor(s)



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