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We define a particular case of hereditary rings called weak
hereditary rings. A sufficient condition for a weak hereditary be hereditary is given. We investigate the transfer of this notion in homomorphic
image of rings, amalgamated duplication of a ring along a proper ideal,
subring retracts, direct product of rings, and in trivial ring extensions. For
the pullback constructions, we give an example showing that the transfer
does not hold.
Fuad Ali Ahmed Almahdi. (2014) On Weakly Hereditary Rings, Punjab University Journal of Mathematics, Volume 46, Issue 2.
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