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Title: Pure subrings of the rings Z{sub {chi}}

Journal Article · · Sbornik. Mathematics
 [1]
  1. Moscow State Pedagogical University, Moscow (Russian Federation)

Pure subrings of finite rank in the 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.

OSTI ID:
21301425
Journal Information:
Sbornik. Mathematics, Vol. 200, Issue 10; Other Information: DOI: 10.1070/SM2009v200n10ABEH004049; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

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