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Annulets in Almost Distributive Lattices

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2009

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Abstract (2. Language): 
We introduce the concept of annulets in an Almost Distributive lattice(ADL) R with 0. We characterize both generalized stone ADL and normal ADL in terms of their annulets. We characterize •-ADLs by means of their annulets. It is proved that the lattice J#0(R) of all annulets of a generalized stone ADL R is a relatively complemented sublattice of the lattice # (R) of all ideals of R. Finally, it is proved that J#0(R) is relatively complemented iff R is sectionally *-ADL.
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  • 1
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  • English

REFERENCES

References: 

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