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This article is cited in 5 scientific papers (total in 5 papers)
Bipolygons and Multipolygons over Semigroups
M. Yu. Maksimovskiy Moscow State Institute of Electronic Technology (Technical University)
Abstract:
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, bipolygon, unitary bipolygon, multipolygon, monoid, semigroup of left (right) zeros.
Received: 23.10.2008 Revised: 27.01.2010
Citation:
M. Yu. Maksimovskiy, “Bipolygons and Multipolygons over Semigroups”, Mat. Zametki, 87:6 (2010), 855–866; Math. Notes, 87:6 (2010), 834–843
Linking options:
https://www.mathnet.ru/eng/mzm6592https://doi.org/10.4213/mzm6592 https://www.mathnet.ru/eng/mzm/v87/i6/p855
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Abstract page: | 376 | Full-text PDF : | 184 | References: | 51 | First page: | 19 |
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