Geodesic
Sums of two regular elements
Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 7-11

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

A well-known fact concerning a prime right Goldie ring R, proved in [4, Section 5], is that an essential right ideal is generated by the regular elements which it contains. There is a modification of that proof which shows that each element of R is the sum of at most two regular elements. This suggested that the recent results of Chatters and Ginn [1] concerning rings generated by their regular elements might possibly be refined a little, since their arguments actually show that elements of R are sums of at most three regular elements. 
Robson, J. C. Sums of two regular elements. Glasgow mathematical journal, Tome 25 (1984) no. 1, pp. 7-11. doi: 10.1017/S0017089500005346
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[1] 1.Chatters, A. W. and Ginn, S. M., Rings generated by their regular elements, Glasgow Math. J. 25 (1984), 1–5. Google Scholar | DOI

[2] 2.Henriksen, M., Two classes of rings generated by their units, J. Algebra. 31 (1974), 182–193. Google Scholar | DOI

[3] 3.Lambek, J., Lectures on rings and modules, 2nd ed. (Chelsea, 1976). Google Scholar

[4] 4.Robson, J. C., Artinian quotient rings, Proc. London Math. Soc. (3) 17 (1967), 600–616. Google Scholar | DOI

[5] 5.Small, L. W. and Stafford, J. T., Regularity of zero divisors, Proc. London Math. Soc. (3) 44 (1982), 405–419. Google Scholar | DOI

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