Left ideals and 0-primitivity in matrix near-rings

DOI10.1017/S0013091500005460zbMath0772.16017OpenAlexW2116980337MaRDI QIDQ4024647

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Publication date: 8 February 1993

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500005460

zbMATH Keywords

0-primitivity2-primitivitydescending chain condition on \(R\)-subgroupsfaithful monogenic modulefinite zero-symmetric near-ringsmaximal left ideals in matrix near- rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Near-rings (16Y30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25)

Related Items (6)

On the near-ring counterpart of the matrix ring isomorphism \(M_{mn}(R)\cong M_ n(M_ m(R))\) ⋮ Partial order in matrix nearrings ⋮ S-PRIMITIVITY IN MATRIX NEAR-RINGS ⋮ On annihilator ideals in matrix near-rings. ⋮ Modules over matrix near-rings and the \({\mathcal J}_ 0\)-radical ⋮ Matrix near-rings and 0-primitivity.

Cites Work

• Unnamed Item
• Matrix near rings
• The \(J_ 2\)-radical in structural matrix near-rings
• PRIMITIVITY IN MATRIX NEAR-RINGS
• Left ideals in matrix near-rings
• Maximal Left Ideals and Idealizers in Matrix Rings

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