Additive decomposition of ideals

DOI10.1142/S0219498818500858zbMath1410.16003MaRDI QIDQ4639637

Babak Amini, Habib Sharif, Afshin Amini, Ali Mohammad Karparvar

Publication date: 11 May 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

full matrix ringscorner ringsKöthe's conjectureINL ringsINP ringsSNL ringsSNP ringsSTN rings

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Noncommutative local and semilocal rings, perfect rings (16L30) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (2)

Ideally nil clean rings ⋮ Soclean rings

Cites Work

• Nil-clean and strongly nil-clean rings.
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Semiregular, weakly regular, and \(\pi\)-regular rings
• Nil clean rings.
• Some aspects of T-nilpotence
• Extensions of Rings and Modules
• On strongly nil clean rings
• I-Rings
• Lifting Idempotents and Exchange Rings
• A Connection Between Weak Regularity and the Simplicity of Prime Factor Rings
• Commutative Rings Over which Every Module has a Maximal Submodule
• Regular P.I.-Rings
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