Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Transversals in groups. 2. Loop transversals in a group by the same subgroup
Authors: Cuzneţov Eugeniu
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Abstract
Connections between different loop transversals in an arbitrary group G of the same subgroup H are demonstrated. It is shown that any loop transversal in an arbitrary group G of its subgroup H can be represented through one fxed loop transversal of H in G by the determined way. The case of a group transversal of H in G is described.Cuzneţov E.A. Ph.D.
Department of Quasigroup Theory,
Institute of Mathematics and Informatics,
Academy of Sciences of Republic of Moldova,
Str. Academiei 5,
MD-2028 Chishinau,
Moldova.
E-mail:
Department of Quasigroup Theory,
Institute of Mathematics and Informatics,
Academy of Sciences of Republic of Moldova,
Str. Academiei 5,
MD-2028 Chishinau,
Moldova.
E-mail:
Fulltext
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Contents
- Transversals in groups. 2. Loop transversals in a group by the same subgroup
- Free R-n-modules
- On n-modules with chain conditions
- Some linear conditions and their application to describing group isotopes
- Invertible elements in associates and semigroups, 2
- On congruences on n-ary T-quasigroups
- On TS-n-groups
- Fuzzy subquasigroups over a t-norm
