Geodesic
Basic semigroups: theory and applications
Algebra and discrete mathematics, no. 4 (2004), pp. 60-65 
J. S. Ponizovskii. Basic semigroups: theory and applications. Algebra and discrete mathematics, no. 4 (2004), pp. 60-65. http://geodesic.mathdoc.fr/item/ADM_2004_4_a4/
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     author = {J. S. Ponizovskii},
     title = {Basic semigroups: theory and applications},
     journal = {Algebra and discrete mathematics},
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     year = {2004},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2004_4_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A concept of basic matrix semigroups over fields (with some variations) is introduced and throughly investigated. Sections 1 and 2 contain main definitions, Section 3 treats some properties of basic semigroups, Section 4 is devoted to some application of basic semigroups: matrix representations (including faithful representations), finiteness theorems, the problem of Korjakov (when a matrix semigroup over field $K$ is conjugate to a matrix semigroup over a proper subfield of $K$). The paper is a survey and contains no proofs (which may be found in papers from References).