Geodesic
Extensions of semilattices by left type-A semigroups
Glasgow mathematical journal, Tome 39 (1997) no. 1, pp. 7-16

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

On a semigroup S let the relation R*, sometimes denoted by R, be defined by xR*y[(sx = txsy = ty]. A semigroup S is called left type-A, iff the set Es of idempotents of S forms a semilattice under multiplication, each element x of Sis R* related to a (necessarily unique) idempotent x+, and xe = (xe)+x for all x ∈ S, е ∈ Es. 
Billhardt, Bernd. Extensions of semilattices by left type-A semigroups. Glasgow mathematical journal, Tome 39 (1997) no. 1, pp. 7-16. doi: 10.1017/S0017089500031840
@article{10_1017_S0017089500031840,
     author = {Billhardt, Bernd},
     title = {Extensions of semilattices by left {type-A} semigroups},
     journal = {Glasgow mathematical journal},
     pages = {7--16},
     year = {1997},
     volume = {39},
     number = {1},
     doi = {10.1017/S0017089500031840},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031840/}
}
TY  - JOUR
AU  - Billhardt, Bernd
TI  - Extensions of semilattices by left type-A semigroups
JO  - Glasgow mathematical journal
PY  - 1997
SP  - 7
EP  - 16
VL  - 39
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031840/
DO  - 10.1017/S0017089500031840
ID  - 10_1017_S0017089500031840
ER  - 
%0 Journal Article
%A Billhardt, Bernd
%T Extensions of semilattices by left type-A semigroups
%J Glasgow mathematical journal
%D 1997
%P 7-16
%V 39
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031840/
%R 10.1017/S0017089500031840
%F 10_1017_S0017089500031840

[1] 1.Billhardt, B., On a wreath product embedding and idempotent pure congruences on inverse semigroups, Semigroup Forum 45 (1992) 45–54. Google Scholar | DOI

[2] 2.Fountain, J., A class of right PP monoids, Quart. J. Math. Oxford, Ser. 2 28 (1977) 285–330. Google Scholar | DOI

[3] 3.Fountain, J., Right PP monoids with central idempotents, Semigroup Forum 13 (1977) 229–237. Google Scholar | DOI

[4] 4.Fountain, J. and Gomes, G. M. S., Proper left type-A monoids revisited, Glasgow Math. J. 35 (1993) 293–306. Google Scholar | DOI

[5] 5.Lawson, M. V., The structure of type-A semigroups, Quart. J. Math. Oxford Ser. 2 37 (1986) 279–298. Google Scholar | DOI

[6] 6.O'Carroll, L., Embedding theorems for proper inverse semigroups, J. Algebra 42 (1976) 26–40. Google Scholar | DOI

[7] 7.Palmer, A., Proper right type-A semigroups, M. Phil. Thesis, York, 1982. Google Scholar

[8] 8.Petrich, M., Inverse semigroups (Wiley, 1984). Google Scholar

Cité par Sources :