On commutativity of endomorphism rings of ideals
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- by S. Alamelu
- Proc. Amer. Math. Soc. 37 (1973), 29-31
- DOI: https://doi.org/10.1090/S0002-9939-1973-0311651-0
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Abstract:
Let R be a commutative noetherian ring with ${\operatorname {Hom}_R}(I,I)$ commutative for all ideals I. Then the total quotient ring of R is quasi-Frobenius. This settles a conjecture of W. V. Vasconcelos [2].References
- Hyman Bass, On the ubiquity of Gorenstein rings, Math. Z. 82 (1963), 8–28. MR 153708, DOI 10.1007/BF01112819
- Wolmer V. Vasconcelos, On commutative endomorphism rings, Pacific J. Math. 35 (1970), 795–798. MR 279086
Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 29-31
- MSC: Primary 13E05; Secondary 16A42
- DOI: https://doi.org/10.1090/S0002-9939-1973-0311651-0
- MathSciNet review: 0311651