Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Transversals in loops. 3. Loop transversals
Authors: Cuzneţov Eugeniu
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Abstract
The investigation of the new notion of a transversal in a loop to its subloop (begun in [10]) is continued in the present article. This notion generalized the well-known notion of a transversal in a group to its subgroup and can be correctly defined only in the case when some specific condition (Condition A) for a loop and its subloop holds. The connections between loop transversals in some loop to its subloop and loop transversals in multiplicative group of this loop to some suitable subgroup are investigated in this work.E-mail:
Fulltext
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Contents
- Transversals in loops. 3. Loop transversals
- Spectra of semimodules
- A Generalization of Hardy-Hilbert's Inequality for Non-homogeneous Kernel
- Topologies on Specg(M)
- Vague Lie Ideals of Lie Algebras
- On conjugate sets of quasigroups
- Categorial aspects of the semireflexivity
- Inclusion Radii for the Zeros of Special Polynomials
- On LCA groups whose rings of continuous endomorphisms have at most two non-trivial closed ideals. I
- Semilattices of r-archimedean subdimonoids
