Geodesic
Bipolygons and Multipolygons over Semigroups
Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 855-866

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In the paper, bipolygons (polygons over two semigroups) and multipolygons (polygons over several semigroups) for some classes of semigroups are studied. A complete description of bipolygons over two arbitrary groups is obtained. The structure of unitary multipolygons over a family of monoids (i.e., multipolygons on which the identity elements of the monoids act identically) is reduced to a unitary polygon over the discrete direct product of these monoids. The description of bipolygons over the semigroups of left and right zeros is also obtained.
Keywords: semigroup, unitary bipolygon, monoid, semigroup of left (right) zeros.
Mots-clés : bipolygon, multipolygon 
@article{MZM_2010_87_6_a6,
     author = {M. Yu. Maksimovskiy},
     title = {Bipolygons and {Multipolygons} over {Semigroups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {855--866},
     publisher = {mathdoc},
     volume = {87},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a6/}
}
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M. Yu. Maksimovskiy. Bipolygons and Multipolygons over Semigroups. Matematičeskie zametki, Tome 87 (2010) no. 6, pp. 855-866. http://geodesic.mathdoc.fr/item/MZM_2010_87_6_a6/