INSERTION-OF-FACTORS-PROPERTY ON NILPOTENT ELEMENTS

DOI10.4134/BKMS.2012.49.2.381zbMath1244.16012MaRDI QIDQ2880479

Young Cheol Jeon, Taehyun Eom, Yang Lee, Jineon Baek, Wooyoung Chin, Ji-Woong Choi

Publication date: 13 April 2012

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=409355

zbMATH Keywords

nilpotent elementsnil idealspolynomial ringsDorroh extensionstriangular matrix ringsKöthe conjectureNI ringsIFP ringsindices of nilpotencynil-IFP rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (4)

Reflexive property restricted to nilpotents ⋮ On linearly weak Armendariz rings. ⋮ Reflexive-nilpotents-property skewed by ring endomorphisms ⋮ Reflexive property on rings with involution

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