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arXiv · 1706.05330

Nearly Spectral Spaces

Lorenzo Acosta G.·I. Marcela Rubio P
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Abstract

We study some natural generalizations of the spectral spaces in the contexts of commutative rings and distributive lattices. We obtain a topological characterization for the spectra of commutative (not necessarily unitary) rings and we find spectral versions for the up-spectral and down-spectral spaces. We show that the duality between distributive lattices and Balbes-Dwinger spaces is the co-equivalence associated to a pair of contravariant right adjoint functors between suitable categories.

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Lorenzo Acosta G., I. Marcela Rubio P. 2017-06-16. Nearly Spectral Spaces. https://doi.org/10.1007/s40590-018-0206-x

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