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- Title
Rolling Simplexes and Their Commensurability IV. A Farewell to Arms!*.
- Authors
Gerasimova, O. V.; Razmyslov, Yu. P.
- Abstract
This text by pure algebraic reasons outlines why the spectrum of maximal ideals SpecℂA of a countable-dimensional differential ℂ-algebra A of transcendence degree 1 without zero divisors is locally analytic, which means that for any ℂ-homomorphism ψM : A → ℂ(M ∈ SpecℂA) and any a ∈ A the Taylor series ψ∼Ma=def∑m=0∞ψMamzmm! has nonzero radius of convergence depending on the element a ∈ A.
- Subjects
SIMPLEXES (Mathematics); MAXIMAL ideals; DIMENSIONAL analysis; DIFFERENTIAL algebra; HOMOMORPHISMS
- Publication
Journal of Mathematical Sciences, 2019, Vol 237, Issue 2, p254
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-019-4152-6