Abstract
For various kinds of rings (always taken to be commutative with unit 1 here), either without or with additional structure, one considers several types of spectra, usually spaces of certain ideals, with some appropriate topology, such as prime ideals, maximal ideal, minimals prime ideals (of mere rings), irreducible ℓ-ideals, prime ℓ-ideals, maximal ℓ-ideals (of lattice ordered rings), and closed prime ideals (of topological rings).
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Banaschewski, B. (1997). Pointfree Topology and the Spectra of f-Rings. In: Holland, W.C., Martinez, J. (eds) Ordered Algebraic Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5640-0_5
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DOI: https://doi.org/10.1007/978-94-011-5640-0_5
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