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Some Generalizations of Green's Relations in Rings and Modules
JOURNAL OF ADVANCES IN MATHEMATICS
In semigroups theory Green's relations, introduced by J. Green, are a very important and useful tool for developing the semigroup theory. They characterise the element of a semigroup or a ring in terms of the principal ideals they generate. In contrast to early semigroup theory , where, as we have seen, ideas from ring's were applied to semigroups, Green's relation's have also been applied to ring's (Hollings, 2014). In ring theory Green's relation's are introduced by (Petro,2002) In this paperdoi:10.24297/jam.v14i2.7772 fatcat:pncoo5g45beitbvs4ccy5mzvw4