Diamond Open Access Journals at Cambridge

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This site is maintained and managed by the Open Research Systems Team at Cambridge University Library (CUL).

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Recent Articles

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PublicationOpen Access
Subincreasing sentences in set theory
(2026) Rouvelas, Panagiotis
We show that weak fragments of $\mathsf{ZF}$ and $\mathsf{NF}$ decide stratified subincreasing sentences.
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PublicationOpen Access
Grothendieck rings of ordered subgroups of the rationals
(2026) Bhardwaj, Neer; Moonen, Frodo
Let $G$ be a proper subgroup of $\mathbb Q$ and $S_G$ be the set of primes $p$ for which $G$ is $p$-divisible. We show that the model-theoretic Grothendieck ring of the ordered abelian group $(G;+,<)$ is a quotient of $(\mathbb Z/q\mathbb Z)[T]/(T+T^2)$, where $q$ is the largest odd integer that divides $p-1$ for all $p \notin S_G$. This implies that the Grothendieck ring of $(G;+,<)$ is trivial in various salient cases, for example when $S_G$ is finite, or when $S_G$ does not contain the set of all primes of the form $2^n +1$, $n\in \mathbb N$.
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Moonen, Frodo
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