Absolute algebra. II: Ideals and spectra

DOI10.1016/j.jpaa.2010.10.019zbMath1243.06013OpenAlexW2024114702MaRDI QIDQ531386

Paul Lescot

Publication date: 29 April 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.10.019

zbMATH Keywords

congruencesidealsidempotent semi-rings

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Semirings (16Y60) Ordered semigroups and monoids (06F05) Other classes of algebras (08C99)

Related Items

A unifying approach to tropicalization ⋮ \(\mathbb{F}_{1}\) for everyone ⋮ Čech cohomology of semiring schemes ⋮ Some remarks on the Jacobson radical types of semirings and related problems ⋮ A classification of the commutative Banach perfect semi-fields of characteristic 1: applications ⋮ Prime and primary ideals in semirings. ⋮ Tropical polynomial algebras ⋮ Absolute algebra. III: The saturated spectrum ⋮ $k$-Congruences and the Zariski topology in semirings ⋮ Lattices, spectral spaces, and closure operations on idempotent semirings

Cites Work

• Elements of tropical linear algebra
• \(\mathbb F_1\)-schemes and toric varieties
• Representations of finite classical groups. A Hopf algebra approach
• Schemes over $$ \mathbb{F}_1 $$
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