Matrix localizations of $n$-firs. II
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- by Peter Malcolmson PDF
- Trans. Amer. Math. Soc. 282 (1984), 519-527 Request permission
Abstract:
In a previous paper by this author and with a similar title, it was shown that adjoining universal inverses for all $k \times k$ full matrices over an $n$-fir results in the localized ring being an $(n - 2k)$-fir. In this note a counterexample is used to show that the result is best possible in general. Techniques of the previous paper are strengthened and a result on a kind of finite inertia of certain rings within their localizations is obtained.References
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- Peter Malcolmson, Matrix localizations of $n$-firs. I, II, Trans. Amer. Math. Soc. 282 (1984), no. 2, 503–518, 519–527. MR 732103, DOI 10.1090/S0002-9947-1984-99925-9
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 282 (1984), 519-527
- MSC: Primary 16A06; Secondary 16A08
- DOI: https://doi.org/10.1090/S0002-9947-1984-0732103-1
- MathSciNet review: 732103