Geodesic
Densely embedded ideals of semigroups
Sbornik. Mathematics, Tome 8 (1969) no. 3, pp. 401-408

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The main result of this paper is the following theorem: A semigroup with equi-operative elements cannot be a densely embedded ideal of a semigroup. This theorem, by generalizing an earlier result by the author, solves a problem that has remained open for a number of years. In conjunction with some results by L. M. Gluskin, this yields several corollaries containing conclusive results with regard to densely embedded ideals. Bibliography: 14 titles. 
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     author = {L. N. Shevrin},
     title = {Densely embedded ideals of semigroups},
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L. N. Shevrin. Densely embedded ideals of semigroups. Sbornik. Mathematics, Tome 8 (1969) no. 3, pp. 401-408. http://geodesic.mathdoc.fr/item/SM_1969_8_3_a5/