Problem of Krull-Schmidt-Remak-Azumaya-Matlis

Upkar S. Kahlon

doi:10.18311/jims/1971/16736

Problem of Krull-Schmidt-Remak-Azumaya-Matlis

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Authors

Upkar S. Kahlon

DOI:

https://doi.org/10.18311/jims/1971/16736

Abstract

He also observed that in case B is noetherian, the answer is in the affirmative. In [2], Faith and Walker have shown that the answer is in the affirmative in case M is injective. As shown by Jean-Yves Chamard [1], the answer is again in the affirmative if M satisfied the condition: the intersection of two complemented submodules of M is again a complemented submodule of M.

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Published

1971-12-01

How to Cite

Kahlon, U. S. (1971). Problem of Krull-Schmidt-Remak-Azumaya-Matlis. The Journal of the Indian Mathematical Society, 35(1-4), 255–261. https://doi.org/10.18311/jims/1971/16736