Geodesic
Generalized subrings of arithmetic rings
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 16, Tome 349 (2007), pp. 211-241 Cet article a éte moissonné depuis la source Math-Net.Ru

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The generalized subrings of $\mathbb{F}_q$ are classified, generalized subrings of $\mathbb{Z}/p^2$ are investigated and their complete classification is obtained when $p=2$. Examples of $\mathbb{F}_\infty$-similar generalized fields, a computation of $\mathbb{F}_\infty^{\otimes n}$, a description of cofinite subrings of $\mathbb{Z}_p$ and examples of subrimgs of $\mathbb{Z}_\infty$ are given. A conjecture on cofinite subrings of $\mathbb{Z}$ is proposed and arguments in its favour are considered. 
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A. L. Smirnov. Generalized subrings of arithmetic rings. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 16, Tome 349 (2007), pp. 211-241. http://geodesic.mathdoc.fr/item/ZNSL_2007_349_a7/

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