Absolute algebra. III: The saturated spectrum

DOI10.1016/j.jpaa.2011.10.031zbMath1271.06014arXiv1310.8399OpenAlexW1992479467MaRDI QIDQ436081

Paul Lescot

Publication date: 30 July 2012

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

Full work available at URL: https://arxiv.org/abs/1310.8399

zbMATH Keywords

geometry in characteristic one

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Ordered semigroups and monoids (06F05) Other classes of algebras (08C99) Algebraic monoids (20M32)

Related Items (9)

\(\mathbb{F}_{1}\) for everyone ⋮ Prime congruences of additively idempotent semirings and a Nullstellensatz for tropical polynomials ⋮ Čech cohomology of semiring schemes ⋮ Some remarks on the Jacobson radical types of semirings and related problems ⋮ Prime and primary ideals in semirings. ⋮ Proto-exact categories of modules over semirings and hyperrings ⋮ Topological properties of the prime spectrum of a semimodule ⋮ $k$-Congruences and the Zariski topology in semirings ⋮ Lattices, spectral spaces, and closure operations on idempotent semirings

Cites Work

• Unnamed Item
• Absolute algebra. II: Ideals and spectra
• Representations of finite classical groups. A Hopf algebra approach
• Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
• Characteristic one, entropy and the absolute point
• Schemes over 𝔽₁and zeta functions
• Schemes over $$ \mathbb{F}_1 $$
• Prime Ideal Structure in Commutative Rings
• The hyperring of adèle classes

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