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Some Generalizations of Green’s Relations in Rings and Modules

Some Generalizations of Green’s Relations in Rings and Modules

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 …