Prime radicals of graded \(\Omega\)-groups

DOI10.1007/s10958-008-0053-9zbMath1153.08001OpenAlexW2060278463MaRDI QIDQ950837

I. N. Balaba, S. A. Pikhtil'kov, Alexander V. Mikhalev

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-0053-9

zbMATH Keywords

graded idealfiniteness conditiongraded omega-groupgraded prime idealprime (semiprime) graded omega-groupsolvable (locally solvable, weakly solvable) graded omega-groupstrictly Engel elementupper (lower) graded weakly solvable radical of a graded omega-group

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Structure theory of algebraic structures (08A05) General radicals and associative rings (16N80)

Related Items

Local solvability of the prime radical of a weakly artinian Lie algebra, On M. V. Zaicev problem for Noetherian special Lie algebras

Cites Work

• Isomorphisms of unitary groups over associative rings
• Elementary subgroup of a unitary group over a PI-ring
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• On a weakly solvable radical of Lie algebras
• Prime radical of lattice-ordered groups
• Group-Graded Rings, Smash Products, and Group Actions
• The prime radical for Ω-groups
• Prime radicals of Chevalley groups over commutative rings
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