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http://dx.doi.org/10.14403/jcms.2012.25.3.445

MULTIPLIERS IN HILBERT ALGEBRAS  

Kim, Kyung Ho (Department of Mathematics, Korea National University of Transportation)
Publication Information
Journal of the Chungcheong Mathematical Society / v.25, no.3, 2012 , pp. 445-453 More about this Journal
Abstract
In this paper, we introduce the concept of multiplier in a Hilbert algebra and obtained some properties of multipliers. Also, we introduce the simple multiplier and characterized the kernel of multipliers in Hilbert algebras.
Keywords
Hilbert algebra; commutative; multiplier; simple multiplier;
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  • Reference
1 D. Busneag, A note on deductive systems of a Hilbert algebras, Kobe J. Math 2 (1985), 29-35.
2 D. Busneag, Hilbert algebras of fractions and maximal Hilbert algebras of quo- tients, Kobe J. Math 5 (1988), 161-172.
3 A. Diego, Sur les algebras de Hilbert, Ed. Hermann, Collection de Logique Math. Serie A 21 (1999), 1-52.
4 R. Larsen, An Introduction to the Theory of Multipliers, Berlin: Springer-Verlag, 1971.