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On Prime, Minimal Prime and Annihilator Ideals in an Almost Distributive Lattice

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2013

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Abstract (2. Language): 
Necessary and sufficient conditions for a prime ideal to be a minimal prime ideal and prime ideal to be a principal ideal in an ADL are furnished. And some properties of the special subsets of the set of all prime ideals in an ADL are studied.
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  • 1
107-118
  • English

REFERENCES

References: 

[1] G C Rao and S Ravikumar. Minimal Prime Ideals in Almost Distributive Lattices. International
Journal of Contemporary Mathematical Sciences. Vol 4, 10. 475-484. 2009.
[2] G C Rao and S M Rao. Annihilator Ideals in Almost distributive lattices. International
Mathematical Forum, Vol 4, 733-746. 2009.
[3] U M Swamy and G C Rao. Almost Distributive Lattices. Journal of the Australian Mathematical
Society,(Series A), Vol 31, 77-91. 1981.
[4] P V Venkatanarasimhan. Stone’s Topology For Pseudocomplemented and Bicomplemented
Lattices, Transactions of the American Mathematical Society, Vol 170, 57-70. 1972.

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