EMBEDDING IN A FINITE 2-GENERATOR SEMIGROUP
Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 61-75

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

We augment the body of existing results on embedding finite semigroups of a certain type into 2-generator finite semigroups of the same type. The approach adopted applies to finite semigroups the idempotents of which form a band and also to finite orthodox semigroups.
HIGGINS, PETER M. EMBEDDING IN A FINITE 2-GENERATOR SEMIGROUP. Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 61-75. doi: 10.1017/S0017089516000045
@article{10_1017_S0017089516000045,
     author = {HIGGINS, PETER M.},
     title = {EMBEDDING {IN} {A} {FINITE} {2-GENERATOR} {SEMIGROUP}},
     journal = {Glasgow mathematical journal},
     pages = {61--75},
     year = {2017},
     volume = {59},
     number = {1},
     doi = {10.1017/S0017089516000045},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000045/}
}
TY  - JOUR
AU  - HIGGINS, PETER M.
TI  - EMBEDDING IN A FINITE 2-GENERATOR SEMIGROUP
JO  - Glasgow mathematical journal
PY  - 2017
SP  - 61
EP  - 75
VL  - 59
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000045/
DO  - 10.1017/S0017089516000045
ID  - 10_1017_S0017089516000045
ER  - 
%0 Journal Article
%A HIGGINS, PETER M.
%T EMBEDDING IN A FINITE 2-GENERATOR SEMIGROUP
%J Glasgow mathematical journal
%D 2017
%P 61-75
%V 59
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000045/
%R 10.1017/S0017089516000045
%F 10_1017_S0017089516000045

[1] 1. Benzaken, C. and Mayr, H. C., Noti on de demi-bande: Demi-bandes de type deux, (French) Semigroup Forum 10 (2) (1975), 115–128. Google Scholar

[2] 2. Evans, T., Embedding theorems for multiplicative systems and projective geometries, Proc. American Math. Soc 3 (1952), 614–620. Google Scholar | DOI

[3] 3. Hall, T. E., Inverse and regular semigroups and amalgamation: a brief survey, in Proc. of the Symposium on regular semigroups, Northern Illinois University, (1979), 49–79. Google Scholar

[4] 4. Higgins, P. M., Techniques of semigroup theory (OUP, Oxford, 1992). Google Scholar

[5] 5. Howie, J. M., Fundamentals of semigroup theory (OUP, Oxford, 1995). Google Scholar

[6] 6. Hunter, R. P., On Certain Two Generator Monoids, Semigroup Forum, Vol. 47 (1993), 96–100. Google Scholar

[7] 7. Margolis, S., Maximal pseudovarieties of finite monoids and semigroups Russian Mathematics (Izvestiya VUZ, Matematika), 1995, 39:1. Google Scholar

[8] 8. Mcalister, D. B., Stephen, J. B. and Vernitski, A., Embedding I in a 2-generator inverse subsemigroup of I , Proceedings of the Edinburgh Mathematical Society (2002) 45, 1–4. Google Scholar

[9] 9. Mian, A. M. and Chowla, S. D., On the B -sequences of Sidon, Proc. Nat. Acad. Sci. India A14 (1944), 3–4. Google Scholar

[10] 10. Neumann, B. H., Embedding theorems for semigroups, J. London Math. Soc. 35 (1960), (184–192). Google Scholar

[11] 11. Sierpinski, W., Sur les suites infinies de fonctions dêfinies dans les ensembles quelconques, Fund. Math. 24 (1935), 209–212. Google Scholar | DOI

Cité par Sources :