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http://dx.doi.org/10.14403/jcms.2016.29.4.613

ON MULTIPLIERS ON BOOLEAN ALGEBRAS  

Kim, Kyung Ho (Department of Mathematics, Korea National University of Transportation)
Publication Information
Journal of the Chungcheong Mathematical Society / v.29, no.4, 2016 , pp. 613-629 More about this Journal
Abstract
In this paper, we introduced the notion of multiplier of Boolean algebras and discuss related properties between multipliers and special mappings, like dual closures, homomorphisms on B. We introduce the notions of xed set $Fix_f(X)$ and normal ideal and obtain interconnection between multipliers and $Fix_f(B)$. Also, we introduce the special multiplier ${\alpha}_p$a nd study some properties. Finally, we show that if B is a Boolean algebra, then the set of all multipliers of B is also a Boolean algebra.
Keywords
Boolean algebra; (simple) multiplier; isotone; $Fix_f(X)$; normal ideal;
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