On valued rings
DOI10.1007/BF02845125zbMath0487.18010OpenAlexW2090430713MaRDI QIDQ1165308
Umberto Cerruti, Luisella Caire
Publication date: 1981
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02845125
fuzzy setscharacteristic functionpartially ordered setdivisibilityvaluationreflective subcategoryKrull valuationscategory of ringsright adjointboolean ringsright valuation function
Partial orders, general (06A06) Valuations and their generalizations for commutative rings (13A18) Preorders, orders, domains and lattices (viewed as categories) (18B35) Divisibility and factorizations in commutative rings (13A05) Categories and theories (18C99)
Cites Work
- Valuation theory
- The generalization of the valuation theory
- Concept representation in natural and artificial languages: Axioms, extensions and applications for fuzzy sets
- Finite and infinite primes for rings and fields
- Valuations on a Commutative Ring
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