Abstract
The aim of this paper is to further investigate the lattice of prime filters and maximal filters of EQ-algebras. As an application, we use those prime filters and maximal filters to construct the prime and maximal spectras of EQ-algebras. In another application, in order to transfer the spectra of EQ-algebras to the spectra of bounded distributive lattices, we study the reticulation of EQ-algebras.
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Acknowledgements
The authors are highly grateful to the editor and anonymous referees for their careful reading and valuable suggestions which helped to improve the paper. This research is supported by a grant of National Natural Science Foundation of China (11901371), Postdoctoral Science Foundation of China (2019M660054XB), Natural Science Foundation of Shaanxi Province (No. 2020JQ-698), Natural Science Foundation of Shaanxi University of Science and Technology (No.2018BJ-65) and innovation team on computationally efficient numerical methods based on new energy problems in Shannxi Province.
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Zhang, X., Yang, J. The spectra and reticulation of EQ-algebras. Soft Comput 25, 8085–8093 (2021). https://doi.org/10.1007/s00500-021-05917-9
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DOI: https://doi.org/10.1007/s00500-021-05917-9