An overnilpotent radical theory for near-rings

DOI10.1016/0021-8693(91)90137-WzbMath0734.16016MaRDI QIDQ810617

Stefan Veldsman

Publication date: 1991

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

equiprime near-ringsspecial radicalsupper radicalsweakly special class\(J_ 2\) and Brown- McCoy radicals0-symmetric near-ringsKA-radicalsovernilpotent radicalsquasi-semi-equiprime near ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Near-rings (16Y30) Jacobson radical, quasimultiplication (16N20)

Related Items (9)

Semisimple classes of hypernilpotent and hyperconstant near-ring radicals ⋮ A RELATIONSHIP BETWEEN RING RADICALS AND MODULE RADICALS ⋮ Topological rings, homogeneous functions, and primeness ⋮ The general radical theory of near-rings -- answers to some open problems ⋮ Right representations of right near-ring radicals ⋮ On Jacobson Near-rings and Special Radicals ⋮ Varieties and radicals of near-rings ⋮ Radical theory in varieties of near-rings in which the constants form ⋮ ON RADICAL THEORY OF NON-ZEROSYMMETRIC NEAR-RINGS

Cites Work

• Near-ring radicals with hereditary semisimple classes
• Prime ideals and nil radicals in near-rings
• Radicals and subdirect decomposition
• A kurosh-amitsur prime radical for near-rings
• MODULO-CONSTANT IDEAL-HEREDITARY RADICALS OF NEAR-KINGS
• STRONGLY EQUIPRIME NEAR-RINGS
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