Algebraic Sets with Fully Characteristic Radicals
Copyright policy )Algebraic Sets with Fully Characteristic Radicals
We obtain a necessary and sufficient condition for an algebraic set in a group to have a fully characteristic radical. As a result, we see that if the radical of a system of equation $S$ over a group $G$ is fully characteristic, then there exists a class $\mathfrak{X}$ of subgroups of $G$ such that elements of $S$ are identities of $\mathfrak{X}$.
6 pages
- University of Tabriz Iran (Islamic Republic of)
алгебраическое множество, вполне инвариантная конгруэнция, уравнения, Noncommutative algebraic geometry, algebraic set, вполне характеристическая подгруппа, радикальный идеал, Group Theory (math.GR), algebraic structures, fully characteristic subgrou, radical ideal, fully characteristic subgroup, fully invariant congruence, equations, Equational classes, universal algebra in model theory, Algebraic structures, FOS: Mathematics, алгебраические структуры, 03C99 (Primary), 08A99, 14A99 (Secondary), Mathematics - Group Theory
алгебраическое множество, вполне инвариантная конгруэнция, уравнения, Noncommutative algebraic geometry, algebraic set, вполне характеристическая подгруппа, радикальный идеал, Group Theory (math.GR), algebraic structures, fully characteristic subgrou, radical ideal, fully characteristic subgroup, fully invariant congruence, equations, Equational classes, universal algebra in model theory, Algebraic structures, FOS: Mathematics, алгебраические структуры, 03C99 (Primary), 08A99, 14A99 (Secondary), Mathematics - Group Theory
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