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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.
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참고문헌 (5)
참고문헌 신청
R. Balbes / 1974 / Distributive Lattices / University of Missouri Press
G. Birkhoof / 1940 / Lattice Theory / American Mathematical Society Colloquium
R. Larsen / 1971 / An Introduction to the Theory of Multipliers / Springer-Verlag
E. Mendelson / Schaum's outline of theory and problems of Boolean algebra and Switsching circuits / McGraw-Hill Inc
Sureeporn Harmaitree / 2011 / On f-derivations in lattices / Far East Journal of Mathematical Sciences 51(1):27~40
G. Birkhoof / 1940 / Lattice Theory / American Mathematical Society Colloquium
R. Larsen / 1971 / An Introduction to the Theory of Multipliers / Springer-Verlag
E. Mendelson / Schaum's outline of theory and problems of Boolean algebra and Switsching circuits / McGraw-Hill Inc
Sureeporn Harmaitree / 2011 / On f-derivations in lattices / Far East Journal of Mathematical Sciences 51(1):27~40
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