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Ideals on quantales, prime ideals and spectrum topology

Article scientifique 2023 Anglais

Résumé

Abstract In this paper, given a quantale Q non necessary with identity. We establish that there exists a bijective correspondence between the set of all ideal of a quantale Qand the set of its all two-sided elements (see 4.3). We investigate the ideals, prime ideals and maximal ideals of Q1 × Q2. After having studied in all the contours the prime ideals, we introduce the spectrum topology, well known in rings theory as being Zariski topology. AMS subject classification: 06F07, 18D10

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Pankiti, P., Jugnia, C. (2023). Ideals on quantales, prime ideals and spectrum topology. https://doi.org/10.21203/rs.3.rs-3175759/v1

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Auteur(s)

Pascal Pankiti Célestin Nkuimi Jugnia

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