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math.RA2026
On monoid graded semihereditary rings
Haneen Falah Ghalib Al-Kharsan, Parviz Sahandi, Nematollah Shirmohammadi
In order to study graded left hereditary and left semihereditary rings graded by a cancelation monoid in terms of their modules, we need to revisit graded free, projective, injecti…
math.RA2026
A characterization of monoid graded semihereditary rings
Parviz Sahandi, Nematollah Shirmohammadi
Let be a cancellation monoid and be a -graded ring. It is shown that is graded left semihereditary if and only if is graded left coherent a…