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On increasing andq-increasing elements in semigroups

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Sommario

Si ricordano i risultati principali, ottenuti da vari autori, della teoria degli elementi accrescitivi nei semigruppi, fino dalla sua origine (1953). Dal quadro complessivo fornito emergono i problemi tuttora aperti e le linee di sviluppo della teoria stessa.

Summary

The main results, of several authors, on increasing elements insemigroups are recalled, from the beginning of this theory (1953). The lines of development, and some open problems, arise from this survey.

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(Conferenza tenuta il 9 dicembre 1987)

This work was performed in the sphere of activity of the Project on «Group theory and non-commutative Algebra» (MPI, Fondi 40%).

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Migliorini, F. On increasing andq-increasing elements in semigroups. Seminario Mat. e. Fis. di Milano 57, 549–570 (1987). https://doi.org/10.1007/BF02925071

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