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Space of Minimal n-Prime Ideals

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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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Acknowledgments

The authors are grateful to the referee for his/her suggestions which improved the presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Nowrosjee Wadia College, Pune, 411001, India

    Nilesh Mundlik

  2. Center for Advanced Study, Department of Mathematics, Savitribai Phule Pune University, Pune, 411007, India

    Vinayak Joshi

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  1. Nilesh Mundlik
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  2. Vinayak Joshi
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Correspondence to Vinayak Joshi.

Additional information

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

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