An endomorphism ring which is not Ore

Blair, William D.

doi:10.1090/S0002-9939-1974-0340331-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

An endomorphism ring which is not Ore
HTML articles powered by AMS MathViewer

by William D. Blair PDF

Proc. Amer. Math. Soc. 44 (1974), 275-277 Request permission

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