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Fuzzy chain subrings and their fuzzy direct sum
Journal article   Peer reviewed

Fuzzy chain subrings and their fuzzy direct sum

Y. Alkhamees
Fuzzy sets and systems, Vol.107(1), pp.101-106
01/10/1999
DOI: https://doi.org/10.1016/S0165-0114(97)00311-4

Abstract

Chain rings Fuzzy direct sum Fuzzy ideals Local rings Principal ideal rings
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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