Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Loops with invariant flexibility under the isostrophy
Authors: Parascovia Syrbu, Ion Grecu
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Abstract
The question "Are the loops with universal (i.e. invariant under the isotopy of loops) flexibility law $xy\cdot x = x\cdot yx$, middle Bol loops?" is open in the theory of loops. If this conjecture is true then the loops for which all isostrophic loops are flexible are Moufang loops. In the present paper we prove that commutative loops with invariant flexibility under the isostrophy of loops are Moufang loops. In particular, we obtain that commutative $IP$-loops with universal flexibility are Moufang loops.P. Syrbu
Moldova State University
60 Mateevici str., Chisinau, MD-2009
Rep. of Moldova
E-mail: ,
I. Grecu
Moldovan-Finnish High School
59 Calea Iesilor str., Chisinau, MD-2069
Rep. of Moldova
E-mail:
Moldova State University
60 Mateevici str., Chisinau, MD-2009
Rep. of Moldova
E-mail: ,
I. Grecu
Moldovan-Finnish High School
59 Calea Iesilor str., Chisinau, MD-2069
Rep. of Moldova
E-mail:
Fulltext
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Contents
- Commutator subgroup of Sylow 2-subgroups of alternating group and the commutator width in the wreath product
- On two stability types for a multicriteria integer linear programming problem
- Closure operators in modules and their characterizations
- On the number of topologies on countable skew fields
- New Algorithms for Finding the Limiting and Differential Matrices in Markov Chains
- Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four
- On self-adjoint and invertible linear relations generated by integral equations
- Loops with invariant flexibility under the isostrophy
