Open AccessThe EA-Dimension of a Commutative Ring
Author(s) -
Mosbah Eljeri
Publication year - 2013
Publication title -
isrn algebra
Language(s) - English
Resource type - Journals
eISSN - 2090-6293
pISSN - 2090-6285
DOI - 10.1155/2013/293207
Subject(s) - algorithm , artificial intelligence , computer science
An elementary annihilator of a ring is an annihilator that has the form ; . We define the elementary annihilator dimension of the ring , denoted by , to be the upper bound of the set of all integers such that there is a chain of annihilators of . We use this dimension to characterize some zero-divisors graphs.
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