The paper introduces an analogue of the Reid class for Banach spaces over valued fields, verifies a classification theorem for its structural hierarchy, and applies it to distinguish specific C_p-spaces and limit their expressibility via direct sums and products.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2verdicts
UNVERDICTED 2representative citing papers
The paper extends transcendence criteria by Anzawa-Funakura and Matsusaka-Seki to apply non-standard analysis to the study of transcendence over the ring of integers modulo infinitely large primes.
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Structural Hierarchy of Reid Class of non-Archimedean Banach Spaces
The paper introduces an analogue of the Reid class for Banach spaces over valued fields, verifies a classification theorem for its structural hierarchy, and applies it to distinguish specific C_p-spaces and limit their expressibility via direct sums and products.
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Notes on Algebraic Properties and Non-Standard Analysis of the Ring of Integers Modulo Infinitely Large Primes
The paper extends transcendence criteria by Anzawa-Funakura and Matsusaka-Seki to apply non-standard analysis to the study of transcendence over the ring of integers modulo infinitely large primes.