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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