Potentially right simple finite semigroups
Čebyševskij sbornik, Tome 12 (2011) no. 1, pp. 120-123
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
It is proved that in any finite semigroup, if every element is divided by every one on the right in potential sense then every element is divided by every one in usual sense too.
[1] Klifford A., Preston G., Algebraicheskaya teoriya polugrupp, v. 1, Mir, M., 1972 | Zbl
[2] Lyapin E. S., Polugruppy, Fizmatlit, M., 1960 | MR | Zbl
[3] Fountain J. B., “Abundant semigroups”, Proc. London Math. Soc., 44:3 (1982), 103–129 | DOI | MR | Zbl
[4] Kozhukhov I. B., Yaroshevich V. A., “O potentsialnoi delimosti matrits nad distributivnymi reshetkami”, Diskret. matem., 22:2 (2010), 148–159 | DOI | MR | Zbl