On a theorem of kulikov for artinian rings
作者:
Hermann Brune,
期刊:
Communications in Algebra
(Taylor Available online 1982)
卷期:
Volume 10,
issue 4
页码: 433-448
ISSN:0092-7872
年代: 1982
DOI:10.1080/00927878208822726
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
For a right artinian Ring A maximal submodules of pure projective right A-modules (i.e. of direct sums of modules of finite length) are again pure projective if and only if the categoryof finitely generated right A-modules is right noetherian, equivalently, if right glob. dim. In this case pure projectivity generally is hereditary in Mod-A (Kulikov-property). The Kulikov-property can be tested by generalized almost split sequences, the test also works in the case of Oedekind domains.
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