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Fuzzy chain subrings and their fuzzy direct sum

✍ Scribed by Y. Alkhamees

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
393 KB
Volume
107
Category
Article
ISSN
0165-0114

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✦ Synopsis

We characterize chain rings in terms of certain fuzzy ideals and by using the concept of minimial generating set. We also employ the concept of fuzzy direct sum to characterize Artinian principal ideal rings and to find the necessary and sufficient fuzzy conditions under which an Artinian ring is a direct sum of fields.

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