Geodesic
Products of idempotents in regular rings
Glasgow mathematical journal, Tome 28 (1986) no. 2, pp. 143-152

Voir la notice de l'article provenant de la source Cambridge University Press

The problem of describing the subsemigroup generated by the idempotents in various natural semigroups has received the attention of several semigroup theorists ([1], [2], [3], [5], [7]). However, in those cases where the parent semigroup is in fact the multiplicative semigroup of a natural ring, the known ring structure has not been exploited. When this ring structure is taken into account, proofs can often be streamlined and can lead to more general arguments (such as not requiring that the elements of the semigroup be already transformations of some known structure). 
O'Meara, K. C. Products of idempotents in regular rings. Glasgow mathematical journal, Tome 28 (1986) no. 2, pp. 143-152. doi: 10.1017/S0017089500006467
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