PRME AND k-PRIME IDEALS IN Ω-GROUPS

DOI10.1080/16073606.1985.9631897zbMath0591.08001OpenAlexW2071330261MaRDI QIDQ3718772

A. Buys, G. K. Gerber

Publication date: 1985

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1985.9631897

zbMATH Keywords

commutatorsprime radicalsemiprimeness\(\Gamma\)-ringszero-symmetric nearringsideals of \(\Omega \) -groups

Mathematics Subject Classification ID

Near-rings (16Y30) Subalgebras, congruence relations (08A30) Structure theory of algebraic structures (08A05) General nonassociative rings (17A99) Other generalizations of groups (20N99) Modules, bimodules and ideals in associative algebras (16Dxx) Radicals and radical properties of associative rings (16Nxx)

Related Items (3)

Prime ideals in categories ⋮ A NIL RADICAL FOR Ω-GROUPS ⋮ Abstractly constructed prime spectra

Cites Work

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• On the structure of reduced \(\mathcal J\)-ternary algebras of degree two
• Prime ideals and nil radicals in near-rings
• On the \(\Gamma\)-rings of Nobusawa
• Radicals of gamma rings
• Radicals and semisimple classes of Ω-groups
• Groups with Multiple Operators
• The prime radical for Ω-groups
• Radikale in allgemeinen Algebren

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