Geodesic
Function algebras on rectangular bands
Algebra and discrete mathematics, Tome 15 (2013) no. 1, pp. 37-47.

Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate function algebras determined by rectangular bands. The focus is on maximal semirings within these function algebras and invariants associated with certain mutations.
Keywords: Semirings of endomorphisms, semigroup mutations. 
@article{ADM_2013_15_1_a4,
     author = {C. J. Maxson},
     title = {Function algebras on rectangular bands},
     journal = {Algebra and discrete mathematics},
     pages = {37--47},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2013_15_1_a4/}
}
TY  - JOUR
AU  - C. J. Maxson
TI  - Function algebras on rectangular bands
JO  - Algebra and discrete mathematics
PY  - 2013
SP  - 37
EP  - 47
VL  - 15
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2013_15_1_a4/
LA  - en
ID  - ADM_2013_15_1_a4
ER  - 
%0 Journal Article
%A C. J. Maxson
%T Function algebras on rectangular bands
%J Algebra and discrete mathematics
%D 2013
%P 37-47
%V 15
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2013_15_1_a4/
%G en
%F ADM_2013_15_1_a4
C. J. Maxson. Function algebras on rectangular bands. Algebra and discrete mathematics, Tome 15 (2013) no. 1, pp. 37-47. http://geodesic.mathdoc.fr/item/ADM_2013_15_1_a4/

[1] G. A. Cannon, C. J. Maxson, K. M. Neuerburg, “Rings and covered groups”, J. Algebra, 320 (2008), 1586–1598 | DOI | MR | Zbl

[2] J. L. Chrislock, “On medial semigroups”, J. Algebra, 12 (1969), 1–9 | DOI | MR | Zbl

[3] M. Dugas, C. J. Maxson, “Quasi-E-locally cyclic torsion-free abelian groups”, Proc. Amer. Math. Soc., 133 (2005), 3447–3453 | DOI | MR | Zbl

[4] M. P. Grillet, “Examples of semirings of endomorphisms of semigroups”, J. Austral. Math. Soc., 11 (1970), 345–349 | DOI | MR | Zbl

[5] J. M. Howie, An Introduction to Semigroups, Academic Press, London, 1976 | Zbl

[6] K. T. Howell, C. J. Maxson, “Commutative Clifford semigroups with maximal endomorphism semigroups”, Period. Math. Hungar., 63 (2011), 65–69 | DOI | MR | Zbl

[7] K. T. Howell, C. J. Maxson, “$(\varphi,\psi)$-mutations of commutative monoids with maximal endomorphism semirings”, Quaestiones Math. (to appear)

[8] K. T. Howell, C. J. Maxson, Covers of semigroups and function semirings, submitted

[9] A. Kreuzer, C. J. Maxson, “$E$-locally cyclic abelian groups and maximal near-rings of mappings”, Forum. Math., 18 (2006), 107–114 | DOI | MR | Zbl

[10] M. Petrich, Introduction to Semigroups, Merrill Books, Columbus, Ohio, 1973 | MR | Zbl

[11] M. Petrich, Lectures in Semigroups, Akademie-Verlag, Berlin, 1977 | MR | Zbl

[12] M. Samman, J. D. P. Meldrum, “On endomorphisms of semilattices of groups”, Algebra Colloq., 12 (2005), 93–100 | DOI | MR | Zbl