An endomorphism ring which is not Ore
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- by William D. Blair
- Proc. Amer. Math. Soc. 44 (1974), 275-277
- DOI: https://doi.org/10.1090/S0002-9939-1974-0340331-1
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Abstract:
An example is given of a finitely generated module over a commutative ring whose endomorphism ring does not have a classical ring of quotients.References
- William D. Blair, Quotient rings of algebras which are module finite and projective, Acta Sci. Math. (Szeged) 36 (1974), 265–266. MR 357458
- Masayoshi Nagata, Local rings, Interscience Tracts in Pure and Applied Mathematics, No. 13, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0155856
- Wolmer V. Vasconcelos, Regular endomorphisms of finitely generated modules, J. London Math. Soc. (2) 4 (1971), 27–32. MR 291152, DOI 10.1112/jlms/s2-4.1.27
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 275-277
- MSC: Primary 16A42
- DOI: https://doi.org/10.1090/S0002-9939-1974-0340331-1
- MathSciNet review: 0340331