9 citations · 51 across the 17 of their papers we have counts for
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Assassins and torsion functors II
Fred Rohrer
Fairness and centredness of ideals in commutative rings, i.e., the relations between assassins and weak assassins of a module, its small or large torsion submodule, and the corresp…
On certain properties and invariants of graded rings and modules
Fred Rohrer
The behaviour under coarsening functors of simple, entire, or reduced graded rings, of free graded modules over principal graded rings, of superfluous monomorphisms and of homologi…
Graded change of ring
Fred Rohrer
We investigate scalar restriction, scalar extension, and scalar coextension functors for graded modules, including their interplay with coarsening functors, graded tensor products,…
Torsion functors, small or large
Fred Rohrer
Let be an ideal in a commutative ring . For an -module , we consider the small -torsion $Γ_{\mathfrak{a}}(M)=\{x\in M\mid\exists n\in\mathbb{N…
Assassins and torsion functors
Fred Rohrer
Let be a ring, let be an ideal, and let be an -module. Let denote the -torsion functor. Conditions are given f…
Injective modules and torsion functors
Pham Hung Quy, Fred Rohrer
A commutative ring is said to have ITI with respect to an ideal a if the a-torsion functor preserves injectivity of modules. Classes of rings with ITI or without ITI with respect t…