A generalization of the Wedderburn-Artin theorem
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- by S. K. Jain and S. R. López-Permouth PDF
- Proc. Amer. Math. Soc. 106 (1989), 19-23 Request permission
Abstract:
The structure of rings such that each of its homomorphic images has the property that each cyclic right module over it is essentially embeddable in a direct summand is determined. Such rings are precisely (i) right uniserial rings, (ii) $n \times n$ matrix rings over two-sided uniserial rings with $n > 1$, or (iii) sums of rings of the types (i) and (ii).References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 19-23
- MSC: Primary 16A36; Secondary 16A48
- DOI: https://doi.org/10.1090/S0002-9939-1989-0948153-6
- MathSciNet review: 948153