Homological independence of injective hulls of simple modules over certain noncommutative rings

Golan, Jonathan S.

doi:10.1090/S0002-9939-1981-0597644-1

Homological independence of injective hulls of simple modules over certain noncommutative rings
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Proc. Amer. Math. Soc. 81 (1981), 377-381 Request permission

Abstract:

We study noncommutative rings $R$ having the property that there is no nonzero homomorphism between injective hulls of nonisomorphic simple left $R$-modules. For rings satisfying the condition that the torsion theory cogenerated by the injective hull of a simple left $R$-module is always jansian, we characterize this property in terms of the lattice of torsion theories on the category of left $R$-modules.

References

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