Injectives for ring isomorphisms with accessible images, ii
作者:
B.J. Gardner,
Patrick N. Stewart,
期刊:
Communications in Algebra
(Taylor Available online 1985)
卷期:
Volume 13,
issue 1
页码: 133-145
ISSN:0092-7872
年代: 1985
DOI:10.1080/00927878508823153
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
Those injectives for the category of associative rings and homomorphisms with accessible images which are indecomposable, and have torsion-free reduced additive groups, are characterized as principal ideal domains with every proper homomorphic image isomorphic to some Zn. This effectively completes the description of the injectives in the category referred to. Such rings can also be embedded in the p-adic integers whenever pA ≠ A.
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