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2003•Rocky Mountain Journal of MathematicsOpen access

Closure Along an Admissible Subset, Seminormality and $T$-Closedness

Gabriel Pıcavet, Martine Picavet-L’Hermitte

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Abstract

We introduce the closure of an injective ring morphism A → B along an admissible subset X of Spec (A) (an admissible subset X is the spectral image of a flat epimorphism A → E). Then we give a theory of seminormality and t-closedness along admissible subsets which extends Yanagihara's work on S-seminormality.

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We introduce the closure of an injective ring morphism A → B along an admissible subset X of Spec (A) (an admissible subset X is the spectral image of a flat epimorphism A → E). Then we give a theory of seminormality and t-closedness along admissible subsets which extends Yanagihara's work on S-seminormality.

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We introduce the closure of an injective ring morphism A → B along an admissible subset X of Spec (A) (an admissible subset X is the spectral image of a flat epimorphism A → E). Then we give a theory of seminormality and t-closedness along admissible subsets which extends Yanagihara's work on S-seminormality.

Key concepts: Mathematics, Closure (psychology), Pure mathematics, Combinatorics, Economics, Market economy

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