Right-left symmetry of \(aR\oplus bR=(a+b)R\) in regular rings
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Publication:1295647
DOI10.1016/S0022-4049(97)00189-8zbMath0929.16010MaRDI QIDQ1295647
K. Manjunatha Prasad, Surender Kumar Jain
Publication date: 2 November 1999
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)
Related Items (15)
Weak core inverses and pseudo core inverses in a ring with involution ⋮ A note on the right-left symmetry of aR ⊕ bR = (a + b)R in rings ⋮ Drazin inverse and generalization of core-nilpotent decomposition ⋮ Unit-regularity of elements in rings ⋮ On (unit-)regular morphisms ⋮ The direct sum order in regular modules ⋮ A note on inner and reflexive inverses in semiprime rings ⋮ Special clean elements in rings ⋮ Regular Elements in Quasi-Morphic Rings ⋮ Inverse complements of a matrix and applications ⋮ Outer inverses: characterization and applications ⋮ Regular elements determined by generalized inverses ⋮ Regular morphisms in abelian categories ⋮ Shorted Operators Relative to a Partial Order in a Regular Ring ⋮ Inverse complements and strongly unit regular elements
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