Geodesic
Pure subrings of the rings $\mathbb Z_\chi$
Sbornik. Mathematics, Tome 200 (2009) no. 10, pp. 1537-1563

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Pure subrings of finite rank in the $\mathbb Z$-adic completion of the ring of integers and in its homomorphic images are considered. Certain properties of these rings are studied (existence of an identity element, decomposability into a direct sum of essentially indecomposable ideals, condition for embeddability into a $csp$-ring, etc.). Additive groups of these rings and conditions under which these rings are subrings of algebraic number fields are described. Bibliography: 12 titles.
Keywords: ring of universal integers, ring of pseudorational numbers, $csp$-ring
Mots-clés : quotient divisible group. 
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     author = {A. V. Tsarev},
     title = {Pure subrings of the rings $\mathbb Z_\chi$},
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     url = {http://geodesic.mathdoc.fr/item/SM_2009_200_10_a6/}
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A. V. Tsarev. Pure subrings of the rings $\mathbb Z_\chi$. Sbornik. Mathematics, Tome 200 (2009) no. 10, pp. 1537-1563. http://geodesic.mathdoc.fr/item/SM_2009_200_10_a6/