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articleNo Access
A characterization of invertible algebras linear over a group by second-order formulas
- Sergey Davidov
Journal of Algebra and Its Applications20 Nov 2017
Preview Abstract
In this paper, the left (right) $h$ -nucleus of an invertible algebra is defined and its connection with regular permutations of the invertible algebra is investigated. Using the notions of the $h$ -nucleus, we have obtained the characterizations of linear invertible algebras and those for left (right) linear invertible algebras by the second-order formulas.
articleNo Access
Invertible binary algebras principally isotopic to a group
Asian-European Journal of Mathematics03 May 2019
Preview Abstract
In this paper, using the second-order formulas, we obtained characterizations of invertible algebras principally isotopic to a group or an abelian group.