Geodesic
Maximal or Greatest Homomorphic Images of Given Type
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 264-271

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

Let Q be a quasi-ordered set with respect to ⩽ ; that is, the order ⩽ is reflexive and transitive. An element a of Q is called maximal (minimal) if a is called greatest (smallest) if Obviously a greatest (smallest) element is maximal (minimal). A greatest (smallest) element in a partially ordered set is unique, but it is not necessarily unique in a quasi-ordered set. 
Tamura, Takayuki. Maximal or Greatest Homomorphic Images of Given Type. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 264-271. doi: 10.4153/CJM-1968-026-5
@article{10_4153_CJM_1968_026_5,
     author = {Tamura, Takayuki},
     title = {Maximal or {Greatest} {Homomorphic} {Images} of {Given} {Type}},
     journal = {Canadian journal of mathematics},
     pages = {264--271},
     year = {1968},
     volume = {20},
     number = {1},
     doi = {10.4153/CJM-1968-026-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-026-5/}
}
TY  - JOUR
AU  - Tamura, Takayuki
TI  - Maximal or Greatest Homomorphic Images of Given Type
JO  - Canadian journal of mathematics
PY  - 1968
SP  - 264
EP  - 271
VL  - 20
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-026-5/
DO  - 10.4153/CJM-1968-026-5
ID  - 10_4153_CJM_1968_026_5
ER  - 
%0 Journal Article
%A Tamura, Takayuki
%T Maximal or Greatest Homomorphic Images of Given Type
%J Canadian journal of mathematics
%D 1968
%P 264-271
%V 20
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-026-5/
%R 10.4153/CJM-1968-026-5
%F 10_4153_CJM_1968_026_5

[1] 1. Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, Vol. I, Math. Surveys No. 7 (Amer. Math. Soc, Providence, R.I., 1961). Google Scholar

[2] 2. Kimura, N., On some existence theorems on multiplication system I, Greatest quotient, Proc. Japan Acad., 34 (1958), 305–309. Google Scholar

[3] 3. Petrich, M., The maximal semilattice decomposition of a semigroup, Math. Z., 85 (1964), 68–82. Google Scholar

[4] 4. Plemmons, R., Semigroups with a maximal semigroup with zero homomorphic image, Notices Amer. Math. Soc, 11 (7) (1964), 751. Google Scholar

[5] 5. Plemmons, R. J. and Tamura, T., Semigroups with a maximal homomorphic image having zero, Proc. Japan Acad., 41 (1965), 681–685. Google Scholar

[6] 6. Tamura, T. and Kimura, N., On decompositions of a commutative semigroup, Kôdai Math. Sem., Rep. 4 (1954), 182–225. Google Scholar

[7] 7. Tamura, T. and Kimura, N., Existence of greatest decomposition of a semigroup, Kôdai Math. Sem. Rep., 7 (1955), 83–84. Google Scholar

[8] 8. Tamura, T., The theory of operations on binary relations, Trans. Amer. Math. Soc, 120 (1965), 343–358. Google Scholar

[9] 9. Yamada, M., On the greatest semilattice decomposition of a semigroup, Kôdai Math. Sem. Rep., 7 (1955), 59–62. Google Scholar

Cité par Sources :