International Journal of Theoretical and Computational Mathematics ISSN: 2395-6607

NEW IDEALS CONTAINING THE KERNAL OF A FRAME HOMOMORPHISM

Author: Sabna.K.S, Department of Mathematics,K.K.T.M College, Pullut, India., Mangalambal N.R, Department of Mathematics, St.Joseph’s College,Irinjalakuda, India.


Abstract

In the background of point free topology, if f: L→ L is a frame homomorphism,the ideals [b]={ x גL : Ԫf(x)∩Ԫb=Φ } corresponding to each bג L have been constructed. It is observed that for each bג L,[b] contains the ideal kerf ={ xג L : f(x)=0}. It is proved that the collection M={[b] ;bג L } is a complete meet semilattice under the partial order ك 

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