FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 2, PAGES 627-629

Injective modules over the ring of pseudo-rational numbers

S. V. Chegljakova

Abstract

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An element of a direct product of rings of $p$-adic integer over all prime numbers $p$ belongs to a subring $R$ of pseudo-rational numbers if almost all its components are equal to one rational number. The concept of such ring was introduced by A. A. Fomin. In this article the description of injective modules over the ring of pseudo-rational numbers is given.

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Last modified: October 31, 2001.