Abstract
In this paper, we study the concept of an n-prime ideal in 0-distributive lattices. The characterization of minimal n-prime ideals is obtained. Further, the topology on the set \(\mathcal {P}_{n}(L)\) of minimal n-prime ideals of a 0-distributive lattice L is studied and it is shown that \(\mathcal {P}_{n}(L)\) is compact if and only if it is finite.
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The authors are grateful to the referee for his/her suggestions which improved the presentation of the paper.
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The authors are financially supported by Board of College and University Development, Savitribai Phule Pune University(formerly, University of Pune), via the projects 14SCI002243 and 15SCI002522 respectively.
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Mundlik, N., Joshi, V. Space of Minimal n-Prime Ideals. Order 36, 225–232 (2019). https://doi.org/10.1007/s11083-018-9463-6
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DOI: https://doi.org/10.1007/s11083-018-9463-6